Finding the Third Proportional to 37,209 and 56,705

Step by Step Solution

1. Step 1: Write the proportion equation
   37,209 : 56,705 = 56,705 : x
2. Step 2: Convert to fraction form
   37,209/56,705 = 56,705/x
3. Step 3: Cross multiply
   37,209x = 56,705 × 56,705
4. Step 4: Simplify right side
   37,209x = 3,215,457,025
5. Step 5: Solve for x
   x = 3,215,457,025/37,209
6. Step 6: Final answer
   x = 86,416.11