Finding the Third Proportional to 13,597 and 29,870

Step by Step Solution

1. Step 1: Write the proportion equation
   13,597 : 29,870 = 29,870 : x
2. Step 2: Convert to fraction form
   13,597/29,870 = 29,870/x
3. Step 3: Cross multiply
   13,597x = 29,870 × 29,870
4. Step 4: Simplify right side
   13,597x = 892,216,900
5. Step 5: Solve for x
   x = 892,216,900/13,597
6. Step 6: Final answer
   x = 65,618.66