Finding the Third Proportional to 15,846 and 34,716

Step by Step Solution

1. Step 1: Write the proportion equation
   15,846 : 34,716 = 34,716 : x
2. Step 2: Convert to fraction form
   15,846/34,716 = 34,716/x
3. Step 3: Cross multiply
   15,846x = 34,716 × 34,716
4. Step 4: Simplify right side
   15,846x = 1,205,200,656
5. Step 5: Solve for x
   x = 1,205,200,656/15,846
6. Step 6: Final answer
   x = 76,057.09