Finding the Third Proportional to 1,536,374 and 2,213,209

Step by Step Solution

1. Step 1: Write the proportion equation
   1,536,374 : 2,213,209 = 2,213,209 : x
2. Step 2: Convert to fraction form
   1,536,374/2,213,209 = 2,213,209/x
3. Step 3: Cross multiply
   1,536,374x = 2,213,209 × 2,213,209
4. Step 4: Simplify right side
   1,536,374x = 4,898,294,077,681
5. Step 5: Solve for x
   x = 4,898,294,077,681/1,536,374
6. Step 6: Final answer
   x = 3,188,217.24