Finding the Third Proportional to 4,387.50 and 10,077.75

Step by Step Solution

1. Step 1: Write the proportion equation
   4,387.50 : 10,077.75 = 10,077.75 : x
2. Step 2: Convert to fraction form
   4,387.50/10,077.75 = 10,077.75/x
3. Step 3: Cross multiply
   4,387.50x = 10,077.75 × 10,077.75
4. Step 4: Simplify right side
   4,387.50x = 101,561,045.06
5. Step 5: Solve for x
   x = 101,561,045.06/4,387.50
6. Step 6: Final answer
   x = 23,147.82