Finding the Third Proportional to 24,624 and 53,399.25

Step by Step Solution

1. Step 1: Write the proportion equation
   24,624 : 53,399.25 = 53,399.25 : x
2. Step 2: Convert to fraction form
   24,624/53,399.25 = 53,399.25/x
3. Step 3: Cross multiply
   24,624x = 53,399.25 × 53,399.25
4. Step 4: Simplify right side
   24,624x = 2,851,479,900.56
5. Step 5: Solve for x
   x = 2,851,479,900.56/24,624
6. Step 6: Final answer
   x = 115,800.84