Finding the Third Proportional to 32,882 and 72,788

Step by Step Solution

1. Step 1: Write the proportion equation
   32,882 : 72,788 = 72,788 : x
2. Step 2: Convert to fraction form
   32,882/72,788 = 72,788/x
3. Step 3: Cross multiply
   32,882x = 72,788 × 72,788
4. Step 4: Simplify right side
   32,882x = 5,298,092,944
5. Step 5: Solve for x
   x = 5,298,092,944/32,882
6. Step 6: Final answer
   x = 161,124.41