Finding the Third Proportional to 2,637,919,929,218 and 5,713,869,516,196

Step by Step Solution

1. Step 1: Write the proportion equation
   2,637,919,929,218 : 5,713,869,516,196 = 5,713,869,516,196 : x
2. Step 2: Convert to fraction form
   2,637,919,929,218/5,713,869,516,196 = 5,713,869,516,196/x
3. Step 3: Cross multiply
   2,637,919,929,218x = 5,713,869,516,196 × 5,713,869,516,196
4. Step 4: Simplify right side
   2,637,919,929,218x = 32,648,304,848,113,910,094,495,744
5. Step 5: Solve for x
   x = 32,648,304,848,113,910,094,495,744/2,637,919,929,218
6. Step 6: Final answer
   x = 12,376,533,679,622.47