Finding the Third Proportional to 10,042.50 and 15,268.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,042.50 : 15,268.50 = 15,268.50 : x
2. Step 2: Convert to fraction form
   10,042.50/15,268.50 = 15,268.50/x
3. Step 3: Cross multiply
   10,042.50x = 15,268.50 × 15,268.50
4. Step 4: Simplify right side
   10,042.50x = 233,127,092.25
5. Step 5: Solve for x
   x = 233,127,092.25/10,042.50
6. Step 6: Final answer
   x = 23,214.05