Finding the Third Proportional to 34,499 and 74,182

Step by Step Solution

1. Step 1: Write the proportion equation
   34,499 : 74,182 = 74,182 : x
2. Step 2: Convert to fraction form
   34,499/74,182 = 74,182/x
3. Step 3: Cross multiply
   34,499x = 74,182 × 74,182
4. Step 4: Simplify right side
   34,499x = 5,502,969,124
5. Step 5: Solve for x
   x = 5,502,969,124/34,499
6. Step 6: Final answer
   x = 159,510.97