Finding the Third Proportional to 33,464 and 72,758

Step by Step Solution

1. Step 1: Write the proportion equation
   33,464 : 72,758 = 72,758 : x
2. Step 2: Convert to fraction form
   33,464/72,758 = 72,758/x
3. Step 3: Cross multiply
   33,464x = 72,758 × 72,758
4. Step 4: Simplify right side
   33,464x = 5,293,726,564
5. Step 5: Solve for x
   x = 5,293,726,564/33,464
6. Step 6: Final answer
   x = 158,191.69