Finding the Third Proportional to 15,654 and 34,294

Step by Step Solution

1. Step 1: Write the proportion equation
   15,654 : 34,294 = 34,294 : x
2. Step 2: Convert to fraction form
   15,654/34,294 = 34,294/x
3. Step 3: Cross multiply
   15,654x = 34,294 × 34,294
4. Step 4: Simplify right side
   15,654x = 1,176,078,436
5. Step 5: Solve for x
   x = 1,176,078,436/15,654
6. Step 6: Final answer
   x = 75,129.58