Finding the Third Proportional to 33,290 and 72,457

Step by Step Solution

1. Step 1: Write the proportion equation
   33,290 : 72,457 = 72,457 : x
2. Step 2: Convert to fraction form
   33,290/72,457 = 72,457/x
3. Step 3: Cross multiply
   33,290x = 72,457 × 72,457
4. Step 4: Simplify right side
   33,290x = 5,250,016,849
5. Step 5: Solve for x
   x = 5,250,016,849/33,290
6. Step 6: Final answer
   x = 157,705.52