Finding the Third Proportional to 34,020 and 68,176.69

Step by Step Solution

1. Step 1: Write the proportion equation
   34,020 : 68,176.69 = 68,176.69 : x
2. Step 2: Convert to fraction form
   34,020/68,176.69 = 68,176.69/x
3. Step 3: Cross multiply
   34,020x = 68,176.69 × 68,176.69
4. Step 4: Simplify right side
   34,020x = 4,648,060,718.47
5. Step 5: Solve for x
   x = 4,648,060,718.47/34,020
6. Step 6: Final answer
   x = 136,627.30