Finding the Third Proportional to 24,687.75 and 35,278.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,687.75 : 35,278.50 = 35,278.50 : x
2. Step 2: Convert to fraction form
   24,687.75/35,278.50 = 35,278.50/x
3. Step 3: Cross multiply
   24,687.75x = 35,278.50 × 35,278.50
4. Step 4: Simplify right side
   24,687.75x = 1,244,572,562.25
5. Step 5: Solve for x
   x = 1,244,572,562.25/24,687.75
6. Step 6: Final answer
   x = 50,412.56