Finding the Third Proportional to 46,630 and 72,706

Step by Step Solution

1. Step 1: Write the proportion equation
   46,630 : 72,706 = 72,706 : x
2. Step 2: Convert to fraction form
   46,630/72,706 = 72,706/x
3. Step 3: Cross multiply
   46,630x = 72,706 × 72,706
4. Step 4: Simplify right side
   46,630x = 5,286,162,436
5. Step 5: Solve for x
   x = 5,286,162,436/46,630
6. Step 6: Final answer
   x = 113,363.98