Finding the Third Proportional to 46,464 and 72,000

Step by Step Solution

1. Step 1: Write the proportion equation
   46,464 : 72,000 = 72,000 : x
2. Step 2: Convert to fraction form
   46,464/72,000 = 72,000/x
3. Step 3: Cross multiply
   46,464x = 72,000 × 72,000
4. Step 4: Simplify right side
   46,464x = 5,184,000,000
5. Step 5: Solve for x
   x = 5,184,000,000/46,464
6. Step 6: Final answer
   x = 111,570.25