Finding the Third Proportional to 55,561.50 and 77,780.25

Step by Step Solution

1. Step 1: Write the proportion equation
   55,561.50 : 77,780.25 = 77,780.25 : x
2. Step 2: Convert to fraction form
   55,561.50/77,780.25 = 77,780.25/x
3. Step 3: Cross multiply
   55,561.50x = 77,780.25 × 77,780.25
4. Step 4: Simplify right side
   55,561.50x = 6,049,767,290.06
5. Step 5: Solve for x
   x = 6,049,767,290.06/55,561.50
6. Step 6: Final answer
   x = 108,884.16