Finding the Third Proportional to 24,174.75 and 37,356.75

Step by Step Solution

1. Step 1: Write the proportion equation
   24,174.75 : 37,356.75 = 37,356.75 : x
2. Step 2: Convert to fraction form
   24,174.75/37,356.75 = 37,356.75/x
3. Step 3: Cross multiply
   24,174.75x = 37,356.75 × 37,356.75
4. Step 4: Simplify right side
   24,174.75x = 1,395,526,770.56
5. Step 5: Solve for x
   x = 1,395,526,770.56/24,174.75
6. Step 6: Final answer
   x = 57,726.63