Finding the Third Proportional to 38,565 and 84,510

Step by Step Solution

1. Step 1: Write the proportion equation
   38,565 : 84,510 = 84,510 : x
2. Step 2: Convert to fraction form
   38,565/84,510 = 84,510/x
3. Step 3: Cross multiply
   38,565x = 84,510 × 84,510
4. Step 4: Simplify right side
   38,565x = 7,141,940,100
5. Step 5: Solve for x
   x = 7,141,940,100/38,565
6. Step 6: Final answer
   x = 185,192.28