Finding the Third Proportional to 33,051 and 72,663

Step by Step Solution

1. Step 1: Write the proportion equation
   33,051 : 72,663 = 72,663 : x
2. Step 2: Convert to fraction form
   33,051/72,663 = 72,663/x
3. Step 3: Cross multiply
   33,051x = 72,663 × 72,663
4. Step 4: Simplify right side
   33,051x = 5,279,911,569
5. Step 5: Solve for x
   x = 5,279,911,569/33,051
6. Step 6: Final answer
   x = 159,750.43