Finding the Third Proportional to 13,720 and 32,012

Step by Step Solution

1. Step 1: Write the proportion equation
   13,720 : 32,012 = 32,012 : x
2. Step 2: Convert to fraction form
   13,720/32,012 = 32,012/x
3. Step 3: Cross multiply
   13,720x = 32,012 × 32,012
4. Step 4: Simplify right side
   13,720x = 1,024,768,144
5. Step 5: Solve for x
   x = 1,024,768,144/13,720
6. Step 6: Final answer
   x = 74,691.56