Finding the Third Proportional to 38,786 and 83,510

Step by Step Solution

1. Step 1: Write the proportion equation
   38,786 : 83,510 = 83,510 : x
2. Step 2: Convert to fraction form
   38,786/83,510 = 83,510/x
3. Step 3: Cross multiply
   38,786x = 83,510 × 83,510
4. Step 4: Simplify right side
   38,786x = 6,973,920,100
5. Step 5: Solve for x
   x = 6,973,920,100/38,786
6. Step 6: Final answer
   x = 179,805.09