Finding the Third Proportional to 24,206 and 52,119.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,206 : 52,119.50 = 52,119.50 : x
2. Step 2: Convert to fraction form
   24,206/52,119.50 = 52,119.50/x
3. Step 3: Cross multiply
   24,206x = 52,119.50 × 52,119.50
4. Step 4: Simplify right side
   24,206x = 2,716,442,280.25
5. Step 5: Solve for x
   x = 2,716,442,280.25/24,206
6. Step 6: Final answer
   x = 112,221.86