Finding the Third Proportional to 24,394 and 53,250.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,394 : 53,250.50 = 53,250.50 : x
2. Step 2: Convert to fraction form
   24,394/53,250.50 = 53,250.50/x
3. Step 3: Cross multiply
   24,394x = 53,250.50 × 53,250.50
4. Step 4: Simplify right side
   24,394x = 2,835,615,750.25
5. Step 5: Solve for x
   x = 2,835,615,750.25/24,394
6. Step 6: Final answer
   x = 116,242.34