Finding the Third Proportional to 37,656 and 51,705

Step by Step Solution

1. Step 1: Write the proportion equation
   37,656 : 51,705 = 51,705 : x
2. Step 2: Convert to fraction form
   37,656/51,705 = 51,705/x
3. Step 3: Cross multiply
   37,656x = 51,705 × 51,705
4. Step 4: Simplify right side
   37,656x = 2,673,407,025
5. Step 5: Solve for x
   x = 2,673,407,025/37,656
6. Step 6: Final answer
   x = 70,995.51