Finding the Third Proportional to 24,142 and 37,920

Step by Step Solution

1. Step 1: Write the proportion equation
   24,142 : 37,920 = 37,920 : x
2. Step 2: Convert to fraction form
   24,142/37,920 = 37,920/x
3. Step 3: Cross multiply
   24,142x = 37,920 × 37,920
4. Step 4: Simplify right side
   24,142x = 1,437,926,400
5. Step 5: Solve for x
   x = 1,437,926,400/24,142
6. Step 6: Final answer
   x = 59,561.20