Finding the Third Proportional to 9,157.50 and 19,725.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,157.50 : 19,725.75 = 19,725.75 : x
2. Step 2: Convert to fraction form
   9,157.50/19,725.75 = 19,725.75/x
3. Step 3: Cross multiply
   9,157.50x = 19,725.75 × 19,725.75
4. Step 4: Simplify right side
   9,157.50x = 389,105,213.06
5. Step 5: Solve for x
   x = 389,105,213.06/9,157.50
6. Step 6: Final answer
   x = 42,490.33