Finding the Third Proportional to 19,880 and 32,196

Step by Step Solution

1. Step 1: Write the proportion equation
   19,880 : 32,196 = 32,196 : x
2. Step 2: Convert to fraction form
   19,880/32,196 = 32,196/x
3. Step 3: Cross multiply
   19,880x = 32,196 × 32,196
4. Step 4: Simplify right side
   19,880x = 1,036,582,416
5. Step 5: Solve for x
   x = 1,036,582,416/19,880
6. Step 6: Final answer
   x = 52,141.97