Finding the Third Proportional to 11,133 and 24,106.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,133 : 24,106.50 = 24,106.50 : x
2. Step 2: Convert to fraction form
   11,133/24,106.50 = 24,106.50/x
3. Step 3: Cross multiply
   11,133x = 24,106.50 × 24,106.50
4. Step 4: Simplify right side
   11,133x = 581,123,342.25
5. Step 5: Solve for x
   x = 581,123,342.25/11,133
6. Step 6: Final answer
   x = 52,198.27