Finding the Third Proportional to 13,974 and 21,141.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,974 : 21,141.50 = 21,141.50 : x
2. Step 2: Convert to fraction form
   13,974/21,141.50 = 21,141.50/x
3. Step 3: Cross multiply
   13,974x = 21,141.50 × 21,141.50
4. Step 4: Simplify right side
   13,974x = 446,963,022.25
5. Step 5: Solve for x
   x = 446,963,022.25/13,974
6. Step 6: Final answer
   x = 31,985.33