Finding the Third Proportional to 16,142 and 34,748

Step by Step Solution

1. Step 1: Write the proportion equation
   16,142 : 34,748 = 34,748 : x
2. Step 2: Convert to fraction form
   16,142/34,748 = 34,748/x
3. Step 3: Cross multiply
   16,142x = 34,748 × 34,748
4. Step 4: Simplify right side
   16,142x = 1,207,423,504
5. Step 5: Solve for x
   x = 1,207,423,504/16,142
6. Step 6: Final answer
   x = 74,800.12