Finding the Third Proportional to 34,082 and 74,542.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,082 : 74,542.50 = 74,542.50 : x
2. Step 2: Convert to fraction form
   34,082/74,542.50 = 74,542.50/x
3. Step 3: Cross multiply
   34,082x = 74,542.50 × 74,542.50
4. Step 4: Simplify right side
   34,082x = 5,556,584,306.25
5. Step 5: Solve for x
   x = 5,556,584,306.25/34,082
6. Step 6: Final answer
   x = 163,035.75