Finding the Third Proportional to 15,538.50 and 19,662.75

Step by Step Solution

1. Step 1: Write the proportion equation
   15,538.50 : 19,662.75 = 19,662.75 : x
2. Step 2: Convert to fraction form
   15,538.50/19,662.75 = 19,662.75/x
3. Step 3: Cross multiply
   15,538.50x = 19,662.75 × 19,662.75
4. Step 4: Simplify right side
   15,538.50x = 386,623,737.56
5. Step 5: Solve for x
   x = 386,623,737.56/15,538.50
6. Step 6: Final answer
   x = 24,881.66