Finding the Third Proportional to 13,972.50 and 21,139.31

Step by Step Solution

1. Step 1: Write the proportion equation
   13,972.50 : 21,139.31 = 21,139.31 : x
2. Step 2: Convert to fraction form
   13,972.50/21,139.31 = 21,139.31/x
3. Step 3: Cross multiply
   13,972.50x = 21,139.31 × 21,139.31
4. Step 4: Simplify right side
   13,972.50x = 446,870,532.97
5. Step 5: Solve for x
   x = 446,870,532.97/13,972.50
6. Step 6: Final answer
   x = 31,982.15