Finding the Third Proportional to 35,846 and 55,617

Step by Step Solution

1. Step 1: Write the proportion equation
   35,846 : 55,617 = 55,617 : x
2. Step 2: Convert to fraction form
   35,846/55,617 = 55,617/x
3. Step 3: Cross multiply
   35,846x = 55,617 × 55,617
4. Step 4: Simplify right side
   35,846x = 3,093,250,689
5. Step 5: Solve for x
   x = 3,093,250,689/35,846
6. Step 6: Final answer
   x = 86,292.77