Finding the Third Proportional to 11,340 and 24,319.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,340 : 24,319.50 = 24,319.50 : x
2. Step 2: Convert to fraction form
   11,340/24,319.50 = 24,319.50/x
3. Step 3: Cross multiply
   11,340x = 24,319.50 × 24,319.50
4. Step 4: Simplify right side
   11,340x = 591,438,080.25
5. Step 5: Solve for x
   x = 591,438,080.25/11,340
6. Step 6: Final answer
   x = 52,155.03