Finding the Third Proportional to 34,061.50 and 82,420

Step by Step Solution

1. Step 1: Write the proportion equation
   34,061.50 : 82,420 = 82,420 : x
2. Step 2: Convert to fraction form
   34,061.50/82,420 = 82,420/x
3. Step 3: Cross multiply
   34,061.50x = 82,420 × 82,420
4. Step 4: Simplify right side
   34,061.50x = 6,793,056,400
5. Step 5: Solve for x
   x = 6,793,056,400/34,061.50
6. Step 6: Final answer
   x = 199,435.03