Finding the Third Proportional to 20,922 and 31,429.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,922 : 31,429.50 = 31,429.50 : x
2. Step 2: Convert to fraction form
   20,922/31,429.50 = 31,429.50/x
3. Step 3: Cross multiply
   20,922x = 31,429.50 × 31,429.50
4. Step 4: Simplify right side
   20,922x = 987,813,470.25
5. Step 5: Solve for x
   x = 987,813,470.25/20,922
6. Step 6: Final answer
   x = 47,214.10