Finding the Third Proportional to 11,151.75 and 14,797.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,151.75 : 14,797.50 = 14,797.50 : x
2. Step 2: Convert to fraction form
   11,151.75/14,797.50 = 14,797.50/x
3. Step 3: Cross multiply
   11,151.75x = 14,797.50 × 14,797.50
4. Step 4: Simplify right side
   11,151.75x = 218,966,006.25
5. Step 5: Solve for x
   x = 218,966,006.25/11,151.75
6. Step 6: Final answer
   x = 19,635.13