Finding the Third Proportional to 15,742.50 and 22,008.75

Step by Step Solution

1. Step 1: Write the proportion equation
   15,742.50 : 22,008.75 = 22,008.75 : x
2. Step 2: Convert to fraction form
   15,742.50/22,008.75 = 22,008.75/x
3. Step 3: Cross multiply
   15,742.50x = 22,008.75 × 22,008.75
4. Step 4: Simplify right side
   15,742.50x = 484,385,076.56
5. Step 5: Solve for x
   x = 484,385,076.56/15,742.50
6. Step 6: Final answer
   x = 30,769.26