Finding the Third Proportional to 34,752 and 82,020

Step by Step Solution

1. Step 1: Write the proportion equation
   34,752 : 82,020 = 82,020 : x
2. Step 2: Convert to fraction form
   34,752/82,020 = 82,020/x
3. Step 3: Cross multiply
   34,752x = 82,020 × 82,020
4. Step 4: Simplify right side
   34,752x = 6,727,280,400
5. Step 5: Solve for x
   x = 6,727,280,400/34,752
6. Step 6: Final answer
   x = 193,579.66