Finding the Third Proportional to 33,746 and 72,835

Step by Step Solution

1. Step 1: Write the proportion equation
   33,746 : 72,835 = 72,835 : x
2. Step 2: Convert to fraction form
   33,746/72,835 = 72,835/x
3. Step 3: Cross multiply
   33,746x = 72,835 × 72,835
4. Step 4: Simplify right side
   33,746x = 5,304,937,225
5. Step 5: Solve for x
   x = 5,304,937,225/33,746
6. Step 6: Final answer
   x = 157,201.96