Finding the Third Proportional to 33,525 and 73,746

Step by Step Solution

1. Step 1: Write the proportion equation
   33,525 : 73,746 = 73,746 : x
2. Step 2: Convert to fraction form
   33,525/73,746 = 73,746/x
3. Step 3: Cross multiply
   33,525x = 73,746 × 73,746
4. Step 4: Simplify right side
   33,525x = 5,438,472,516
5. Step 5: Solve for x
   x = 5,438,472,516/33,525
6. Step 6: Final answer
   x = 162,221.40