Finding the Third Proportional to 32,464 and 70,944

Step by Step Solution

1. Step 1: Write the proportion equation
   32,464 : 70,944 = 70,944 : x
2. Step 2: Convert to fraction form
   32,464/70,944 = 70,944/x
3. Step 3: Cross multiply
   32,464x = 70,944 × 70,944
4. Step 4: Simplify right side
   32,464x = 5,033,051,136
5. Step 5: Solve for x
   x = 5,033,051,136/32,464
6. Step 6: Final answer
   x = 155,034.84