Finding the Third Proportional to 33,120 and 72,076

Step by Step Solution

1. Step 1: Write the proportion equation
   33,120 : 72,076 = 72,076 : x
2. Step 2: Convert to fraction form
   33,120/72,076 = 72,076/x
3. Step 3: Cross multiply
   33,120x = 72,076 × 72,076
4. Step 4: Simplify right side
   33,120x = 5,194,949,776
5. Step 5: Solve for x
   x = 5,194,949,776/33,120
6. Step 6: Final answer
   x = 156,852.35