Finding the Third Proportional to 37,966 and 88,705

Step by Step Solution

1. Step 1: Write the proportion equation
   37,966 : 88,705 = 88,705 : x
2. Step 2: Convert to fraction form
   37,966/88,705 = 88,705/x
3. Step 3: Cross multiply
   37,966x = 88,705 × 88,705
4. Step 4: Simplify right side
   37,966x = 7,868,577,025
5. Step 5: Solve for x
   x = 7,868,577,025/37,966
6. Step 6: Final answer
   x = 207,253.25