Finding the Third Proportional to 12,543.75 and 19,532.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,543.75 : 19,532.25 = 19,532.25 : x
2. Step 2: Convert to fraction form
   12,543.75/19,532.25 = 19,532.25/x
3. Step 3: Cross multiply
   12,543.75x = 19,532.25 × 19,532.25
4. Step 4: Simplify right side
   12,543.75x = 381,508,790.06
5. Step 5: Solve for x
   x = 381,508,790.06/12,543.75
6. Step 6: Final answer
   x = 30,414.25