Finding the Third Proportional to 24,576 and 53,314.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,576 : 53,314.50 = 53,314.50 : x
2. Step 2: Convert to fraction form
   24,576/53,314.50 = 53,314.50/x
3. Step 3: Cross multiply
   24,576x = 53,314.50 × 53,314.50
4. Step 4: Simplify right side
   24,576x = 2,842,435,910.25
5. Step 5: Solve for x
   x = 2,842,435,910.25/24,576
6. Step 6: Final answer
   x = 115,659.01