Finding the Third Proportional to 13,802 and 32,112

Step by Step Solution

1. Step 1: Write the proportion equation
   13,802 : 32,112 = 32,112 : x
2. Step 2: Convert to fraction form
   13,802/32,112 = 32,112/x
3. Step 3: Cross multiply
   13,802x = 32,112 × 32,112
4. Step 4: Simplify right side
   13,802x = 1,031,180,544
5. Step 5: Solve for x
   x = 1,031,180,544/13,802
6. Step 6: Final answer
   x = 74,712.40