Finding the Third Proportional to 33,090 and 71,364

Step by Step Solution

1. Step 1: Write the proportion equation
   33,090 : 71,364 = 71,364 : x
2. Step 2: Convert to fraction form
   33,090/71,364 = 71,364/x
3. Step 3: Cross multiply
   33,090x = 71,364 × 71,364
4. Step 4: Simplify right side
   33,090x = 5,092,820,496
5. Step 5: Solve for x
   x = 5,092,820,496/33,090
6. Step 6: Final answer
   x = 153,908.14