Finding the Third Proportional to 24,166.50 and 53,238

Step by Step Solution

1. Step 1: Write the proportion equation
   24,166.50 : 53,238 = 53,238 : x
2. Step 2: Convert to fraction form
   24,166.50/53,238 = 53,238/x
3. Step 3: Cross multiply
   24,166.50x = 53,238 × 53,238
4. Step 4: Simplify right side
   24,166.50x = 2,834,284,644
5. Step 5: Solve for x
   x = 2,834,284,644/24,166.50
6. Step 6: Final answer
   x = 117,281.55