Finding the Third Proportional to 34,020 and 71,138.25

Step by Step Solution

1. Step 1: Write the proportion equation
   34,020 : 71,138.25 = 71,138.25 : x
2. Step 2: Convert to fraction form
   34,020/71,138.25 = 71,138.25/x
3. Step 3: Cross multiply
   34,020x = 71,138.25 × 71,138.25
4. Step 4: Simplify right side
   34,020x = 5,060,650,613.06
5. Step 5: Solve for x
   x = 5,060,650,613.06/34,020
6. Step 6: Final answer
   x = 148,755.16