Finding the Third Proportional to 20,196 and 31,716

Step by Step Solution

1. Step 1: Write the proportion equation
   20,196 : 31,716 = 31,716 : x
2. Step 2: Convert to fraction form
   20,196/31,716 = 31,716/x
3. Step 3: Cross multiply
   20,196x = 31,716 × 31,716
4. Step 4: Simplify right side
   20,196x = 1,005,904,656
5. Step 5: Solve for x
   x = 1,005,904,656/20,196
6. Step 6: Final answer
   x = 49,807.12