Finding the Third Proportional to 7,578 and 10,387.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,578 : 10,387.50 = 10,387.50 : x
2. Step 2: Convert to fraction form
   7,578/10,387.50 = 10,387.50/x
3. Step 3: Cross multiply
   7,578x = 10,387.50 × 10,387.50
4. Step 4: Simplify right side
   7,578x = 107,900,156.25
5. Step 5: Solve for x
   x = 107,900,156.25/7,578
6. Step 6: Final answer
   x = 14,238.61