Finding the Third Proportional to 38,400 and 83,980

Step by Step Solution

1. Step 1: Write the proportion equation
   38,400 : 83,980 = 83,980 : x
2. Step 2: Convert to fraction form
   38,400/83,980 = 83,980/x
3. Step 3: Cross multiply
   38,400x = 83,980 × 83,980
4. Step 4: Simplify right side
   38,400x = 7,052,640,400
5. Step 5: Solve for x
   x = 7,052,640,400/38,400
6. Step 6: Final answer
   x = 183,662.51