Finding the Third Proportional to 24,575.25 and 53,311.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,575.25 : 53,311.50 = 53,311.50 : x
2. Step 2: Convert to fraction form
   24,575.25/53,311.50 = 53,311.50/x
3. Step 3: Cross multiply
   24,575.25x = 53,311.50 × 53,311.50
4. Step 4: Simplify right side
   24,575.25x = 2,842,116,032.25
5. Step 5: Solve for x
   x = 2,842,116,032.25/24,575.25
6. Step 6: Final answer
   x = 115,649.53