Finding the Third Proportional to 46,767 and 72,563

Step by Step Solution

1. Step 1: Write the proportion equation
   46,767 : 72,563 = 72,563 : x
2. Step 2: Convert to fraction form
   46,767/72,563 = 72,563/x
3. Step 3: Cross multiply
   46,767x = 72,563 × 72,563
4. Step 4: Simplify right side
   46,767x = 5,265,388,969
5. Step 5: Solve for x
   x = 5,265,388,969/46,767
6. Step 6: Final answer
   x = 112,587.70