Finding the Third Proportional to 36,142 and 76,658

Step by Step Solution

1. Step 1: Write the proportion equation
   36,142 : 76,658 = 76,658 : x
2. Step 2: Convert to fraction form
   36,142/76,658 = 76,658/x
3. Step 3: Cross multiply
   36,142x = 76,658 × 76,658
4. Step 4: Simplify right side
   36,142x = 5,876,448,964
5. Step 5: Solve for x
   x = 5,876,448,964/36,142
6. Step 6: Final answer
   x = 162,593.35