Finding the Third Proportional to 38,466 and 83,988

Step by Step Solution

1. Step 1: Write the proportion equation
   38,466 : 83,988 = 83,988 : x
2. Step 2: Convert to fraction form
   38,466/83,988 = 83,988/x
3. Step 3: Cross multiply
   38,466x = 83,988 × 83,988
4. Step 4: Simplify right side
   38,466x = 7,053,984,144
5. Step 5: Solve for x
   x = 7,053,984,144/38,466
6. Step 6: Final answer
   x = 183,382.32