Finding the Third Proportional to 27,744.75 and 59,458.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,744.75 : 59,458.50 = 59,458.50 : x
2. Step 2: Convert to fraction form
   27,744.75/59,458.50 = 59,458.50/x
3. Step 3: Cross multiply
   27,744.75x = 59,458.50 × 59,458.50
4. Step 4: Simplify right side
   27,744.75x = 3,535,313,222.25
5. Step 5: Solve for x
   x = 3,535,313,222.25/27,744.75
6. Step 6: Final answer
   x = 127,422.78