Finding the Third Proportional to 54,776 and 86,662

Step by Step Solution

1. Step 1: Write the proportion equation
   54,776 : 86,662 = 86,662 : x
2. Step 2: Convert to fraction form
   54,776/86,662 = 86,662/x
3. Step 3: Cross multiply
   54,776x = 86,662 × 86,662
4. Step 4: Simplify right side
   54,776x = 7,510,302,244
5. Step 5: Solve for x
   x = 7,510,302,244/54,776
6. Step 6: Final answer
   x = 137,109.36