Finding the Third Proportional to 14,384 and 34,988

Step by Step Solution

1. Step 1: Write the proportion equation
   14,384 : 34,988 = 34,988 : x
2. Step 2: Convert to fraction form
   14,384/34,988 = 34,988/x
3. Step 3: Cross multiply
   14,384x = 34,988 × 34,988
4. Step 4: Simplify right side
   14,384x = 1,224,160,144
5. Step 5: Solve for x
   x = 1,224,160,144/14,384
6. Step 6: Final answer
   x = 85,105.68