Finding the Third Proportional to 46,658 and 72,291

Step by Step Solution

1. Step 1: Write the proportion equation
   46,658 : 72,291 = 72,291 : x
2. Step 2: Convert to fraction form
   46,658/72,291 = 72,291/x
3. Step 3: Cross multiply
   46,658x = 72,291 × 72,291
4. Step 4: Simplify right side
   46,658x = 5,225,988,681
5. Step 5: Solve for x
   x = 5,225,988,681/46,658
6. Step 6: Final answer
   x = 112,006.27