Finding the Third Proportional to 46,200 and 71,508

Step by Step Solution

1. Step 1: Write the proportion equation
   46,200 : 71,508 = 71,508 : x
2. Step 2: Convert to fraction form
   46,200/71,508 = 71,508/x
3. Step 3: Cross multiply
   46,200x = 71,508 × 71,508
4. Step 4: Simplify right side
   46,200x = 5,113,394,064
5. Step 5: Solve for x
   x = 5,113,394,064/46,200
6. Step 6: Final answer
   x = 110,679.53