Finding the Third Proportional to 55,382.50 and 83,734.75

Step by Step Solution

1. Step 1: Write the proportion equation
   55,382.50 : 83,734.75 = 83,734.75 : x
2. Step 2: Convert to fraction form
   55,382.50/83,734.75 = 83,734.75/x
3. Step 3: Cross multiply
   55,382.50x = 83,734.75 × 83,734.75
4. Step 4: Simplify right side
   55,382.50x = 7,011,508,357.56
5. Step 5: Solve for x
   x = 7,011,508,357.56/55,382.50
6. Step 6: Final answer
   x = 126,601.51