Finding the Third Proportional to 39,564 and 85,662

Step by Step Solution

1. Step 1: Write the proportion equation
   39,564 : 85,662 = 85,662 : x
2. Step 2: Convert to fraction form
   39,564/85,662 = 85,662/x
3. Step 3: Cross multiply
   39,564x = 85,662 × 85,662
4. Step 4: Simplify right side
   39,564x = 7,337,978,244
5. Step 5: Solve for x
   x = 7,337,978,244/39,564
6. Step 6: Final answer
   x = 185,471.09