Finding the Third Proportional to 15,840 and 24,300

Step by Step Solution

1. Step 1: Write the proportion equation
   15,840 : 24,300 = 24,300 : x
2. Step 2: Convert to fraction form
   15,840/24,300 = 24,300/x
3. Step 3: Cross multiply
   15,840x = 24,300 × 24,300
4. Step 4: Simplify right side
   15,840x = 590,490,000
5. Step 5: Solve for x
   x = 590,490,000/15,840
6. Step 6: Final answer
   x = 37,278.41