Finding the Third Proportional to 33,412 and 72,654

Step by Step Solution

1. Step 1: Write the proportion equation
   33,412 : 72,654 = 72,654 : x
2. Step 2: Convert to fraction form
   33,412/72,654 = 72,654/x
3. Step 3: Cross multiply
   33,412x = 72,654 × 72,654
4. Step 4: Simplify right side
   33,412x = 5,278,603,716
5. Step 5: Solve for x
   x = 5,278,603,716/33,412
6. Step 6: Final answer
   x = 157,985.27