Finding the Third Proportional to 24,013.25 and 52,697.25

Step by Step Solution

1. Step 1: Write the proportion equation
   24,013.25 : 52,697.25 = 52,697.25 : x
2. Step 2: Convert to fraction form
   24,013.25/52,697.25 = 52,697.25/x
3. Step 3: Cross multiply
   24,013.25x = 52,697.25 × 52,697.25
4. Step 4: Simplify right side
   24,013.25x = 2,777,000,157.56
5. Step 5: Solve for x
   x = 2,777,000,157.56/24,013.25
6. Step 6: Final answer
   x = 115,644.49