Finding the Third Proportional to 10,375 and 13,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,375 : 13,978.50 = 13,978.50 : x
2. Step 2: Convert to fraction form
   10,375/13,978.50 = 13,978.50/x
3. Step 3: Cross multiply
   10,375x = 13,978.50 × 13,978.50
4. Step 4: Simplify right side
   10,375x = 195,398,462.25
5. Step 5: Solve for x
   x = 195,398,462.25/10,375
6. Step 6: Final answer
   x = 18,833.59