Finding the Third Proportional to 14,546 and 32,008

Step by Step Solution

1. Step 1: Write the proportion equation
   14,546 : 32,008 = 32,008 : x
2. Step 2: Convert to fraction form
   14,546/32,008 = 32,008/x
3. Step 3: Cross multiply
   14,546x = 32,008 × 32,008
4. Step 4: Simplify right side
   14,546x = 1,024,512,064
5. Step 5: Solve for x
   x = 1,024,512,064/14,546
6. Step 6: Final answer
   x = 70,432.56