Finding the Third Proportional to 55,100 and 81,839.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,100 : 81,839.50 = 81,839.50 : x
2. Step 2: Convert to fraction form
   55,100/81,839.50 = 81,839.50/x
3. Step 3: Cross multiply
   55,100x = 81,839.50 × 81,839.50
4. Step 4: Simplify right side
   55,100x = 6,697,703,760.25
5. Step 5: Solve for x
   x = 6,697,703,760.25/55,100
6. Step 6: Final answer
   x = 121,555.42