Finding the Third Proportional to 32,874 and 68,076

Step by Step Solution

1. Step 1: Write the proportion equation
   32,874 : 68,076 = 68,076 : x
2. Step 2: Convert to fraction form
   32,874/68,076 = 68,076/x
3. Step 3: Cross multiply
   32,874x = 68,076 × 68,076
4. Step 4: Simplify right side
   32,874x = 4,634,341,776
5. Step 5: Solve for x
   x = 4,634,341,776/32,874
6. Step 6: Final answer
   x = 140,972.86