Finding the Third Proportional to 33,141 and 71,225

Step by Step Solution

1. Step 1: Write the proportion equation
   33,141 : 71,225 = 71,225 : x
2. Step 2: Convert to fraction form
   33,141/71,225 = 71,225/x
3. Step 3: Cross multiply
   33,141x = 71,225 × 71,225
4. Step 4: Simplify right side
   33,141x = 5,073,000,625
5. Step 5: Solve for x
   x = 5,073,000,625/33,141
6. Step 6: Final answer
   x = 153,073.25