Finding the Third Proportional to 13,500 and 32,014

Step by Step Solution

1. Step 1: Write the proportion equation
   13,500 : 32,014 = 32,014 : x
2. Step 2: Convert to fraction form
   13,500/32,014 = 32,014/x
3. Step 3: Cross multiply
   13,500x = 32,014 × 32,014
4. Step 4: Simplify right side
   13,500x = 1,024,896,196
5. Step 5: Solve for x
   x = 1,024,896,196/13,500
6. Step 6: Final answer
   x = 75,918.24