Finding the Third Proportional to 33,410 and 72,649

Step by Step Solution

1. Step 1: Write the proportion equation
   33,410 : 72,649 = 72,649 : x
2. Step 2: Convert to fraction form
   33,410/72,649 = 72,649/x
3. Step 3: Cross multiply
   33,410x = 72,649 × 72,649
4. Step 4: Simplify right side
   33,410x = 5,277,877,201
5. Step 5: Solve for x
   x = 5,277,877,201/33,410
6. Step 6: Final answer
   x = 157,972.98