Finding the Third Proportional to 10,127.50 and 15,326.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,127.50 : 15,326.50 = 15,326.50 : x
2. Step 2: Convert to fraction form
   10,127.50/15,326.50 = 15,326.50/x
3. Step 3: Cross multiply
   10,127.50x = 15,326.50 × 15,326.50
4. Step 4: Simplify right side
   10,127.50x = 234,901,602.25
5. Step 5: Solve for x
   x = 234,901,602.25/10,127.50
6. Step 6: Final answer
   x = 23,194.43