Finding the Third Proportional to 38,229 and 83,820

Step by Step Solution

1. Step 1: Write the proportion equation
   38,229 : 83,820 = 83,820 : x
2. Step 2: Convert to fraction form
   38,229/83,820 = 83,820/x
3. Step 3: Cross multiply
   38,229x = 83,820 × 83,820
4. Step 4: Simplify right side
   38,229x = 7,025,792,400
5. Step 5: Solve for x
   x = 7,025,792,400/38,229
6. Step 6: Final answer
   x = 183,781.75