Finding the Third Proportional to 34,234 and 74,084

Step by Step Solution

1. Step 1: Write the proportion equation
   34,234 : 74,084 = 74,084 : x
2. Step 2: Convert to fraction form
   34,234/74,084 = 74,084/x
3. Step 3: Cross multiply
   34,234x = 74,084 × 74,084
4. Step 4: Simplify right side
   34,234x = 5,488,439,056
5. Step 5: Solve for x
   x = 5,488,439,056/34,234
6. Step 6: Final answer
   x = 160,321.29