Finding the Third Proportional to 46,658 and 71,715

Step by Step Solution

1. Step 1: Write the proportion equation
   46,658 : 71,715 = 71,715 : x
2. Step 2: Convert to fraction form
   46,658/71,715 = 71,715/x
3. Step 3: Cross multiply
   46,658x = 71,715 × 71,715
4. Step 4: Simplify right side
   46,658x = 5,143,041,225
5. Step 5: Solve for x
   x = 5,143,041,225/46,658
6. Step 6: Final answer
   x = 110,228.50