Finding the Third Proportional to 41,762.50 and 86,981

Step by Step Solution

1. Step 1: Write the proportion equation
   41,762.50 : 86,981 = 86,981 : x
2. Step 2: Convert to fraction form
   41,762.50/86,981 = 86,981/x
3. Step 3: Cross multiply
   41,762.50x = 86,981 × 86,981
4. Step 4: Simplify right side
   41,762.50x = 7,565,694,361
5. Step 5: Solve for x
   x = 7,565,694,361/41,762.50
6. Step 6: Final answer
   x = 181,160.00