Finding the Third Proportional to 13,898 and 32,147

Step by Step Solution

1. Step 1: Write the proportion equation
   13,898 : 32,147 = 32,147 : x
2. Step 2: Convert to fraction form
   13,898/32,147 = 32,147/x
3. Step 3: Cross multiply
   13,898x = 32,147 × 32,147
4. Step 4: Simplify right side
   13,898x = 1,033,429,609
5. Step 5: Solve for x
   x = 1,033,429,609/13,898
6. Step 6: Final answer
   x = 74,358.15