Finding the Third Proportional to 15,597 and 34,109

Step by Step Solution

1. Step 1: Write the proportion equation
   15,597 : 34,109 = 34,109 : x
2. Step 2: Convert to fraction form
   15,597/34,109 = 34,109/x
3. Step 3: Cross multiply
   15,597x = 34,109 × 34,109
4. Step 4: Simplify right side
   15,597x = 1,163,423,881
5. Step 5: Solve for x
   x = 1,163,423,881/15,597
6. Step 6: Final answer
   x = 74,592.80