Finding the Third Proportional to 32,866 and 72,292

Step by Step Solution

1. Step 1: Write the proportion equation
   32,866 : 72,292 = 72,292 : x
2. Step 2: Convert to fraction form
   32,866/72,292 = 72,292/x
3. Step 3: Cross multiply
   32,866x = 72,292 × 72,292
4. Step 4: Simplify right side
   32,866x = 5,226,133,264
5. Step 5: Solve for x
   x = 5,226,133,264/32,866
6. Step 6: Final answer
   x = 159,013.37