Finding the Third Proportional to 33,382 and 71,502

Step by Step Solution

1. Step 1: Write the proportion equation
   33,382 : 71,502 = 71,502 : x
2. Step 2: Convert to fraction form
   33,382/71,502 = 71,502/x
3. Step 3: Cross multiply
   33,382x = 71,502 × 71,502
4. Step 4: Simplify right side
   33,382x = 5,112,536,004
5. Step 5: Solve for x
   x = 5,112,536,004/33,382
6. Step 6: Final answer
   x = 153,152.48