Finding the Third Proportional to 33,141 and 71,534

Step by Step Solution

1. Step 1: Write the proportion equation
   33,141 : 71,534 = 71,534 : x
2. Step 2: Convert to fraction form
   33,141/71,534 = 71,534/x
3. Step 3: Cross multiply
   33,141x = 71,534 × 71,534
4. Step 4: Simplify right side
   33,141x = 5,117,113,156
5. Step 5: Solve for x
   x = 5,117,113,156/33,141
6. Step 6: Final answer
   x = 154,404.31