Finding the Third Proportional to 38,120 and 83,996

Step by Step Solution

1. Step 1: Write the proportion equation
   38,120 : 83,996 = 83,996 : x
2. Step 2: Convert to fraction form
   38,120/83,996 = 83,996/x
3. Step 3: Cross multiply
   38,120x = 83,996 × 83,996
4. Step 4: Simplify right side
   38,120x = 7,055,328,016
5. Step 5: Solve for x
   x = 7,055,328,016/38,120
6. Step 6: Final answer
   x = 185,082.06