Finding the Third Proportional to 46,658 and 59,079

Step by Step Solution

1. Step 1: Write the proportion equation
   46,658 : 59,079 = 59,079 : x
2. Step 2: Convert to fraction form
   46,658/59,079 = 59,079/x
3. Step 3: Cross multiply
   46,658x = 59,079 × 59,079
4. Step 4: Simplify right side
   46,658x = 3,490,328,241
5. Step 5: Solve for x
   x = 3,490,328,241/46,658
6. Step 6: Final answer
   x = 74,806.64