Finding the Third Proportional to 34,020 and 71,821.69

Step by Step Solution

1. Step 1: Write the proportion equation
   34,020 : 71,821.69 = 71,821.69 : x
2. Step 2: Convert to fraction form
   34,020/71,821.69 = 71,821.69/x
3. Step 3: Cross multiply
   34,020x = 71,821.69 × 71,821.69
4. Step 4: Simplify right side
   34,020x = 5,158,354,795.35
5. Step 5: Solve for x
   x = 5,158,354,795.35/34,020
6. Step 6: Final answer
   x = 151,627.13