Finding the Third Proportional to 20,199 and 31,007

Step by Step Solution

1. Step 1: Write the proportion equation
   20,199 : 31,007 = 31,007 : x
2. Step 2: Convert to fraction form
   20,199/31,007 = 31,007/x
3. Step 3: Cross multiply
   20,199x = 31,007 × 31,007
4. Step 4: Simplify right side
   20,199x = 961,434,049
5. Step 5: Solve for x
   x = 961,434,049/20,199
6. Step 6: Final answer
   x = 47,598.10