Finding the Third Proportional to 10,836.75 and 14,695.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,836.75 : 14,695.50 = 14,695.50 : x
2. Step 2: Convert to fraction form
   10,836.75/14,695.50 = 14,695.50/x
3. Step 3: Cross multiply
   10,836.75x = 14,695.50 × 14,695.50
4. Step 4: Simplify right side
   10,836.75x = 215,957,720.25
5. Step 5: Solve for x
   x = 215,957,720.25/10,836.75
6. Step 6: Final answer
   x = 19,928.27