Finding the Third Proportional to 12,993 and 19,672.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,993 : 19,672.50 = 19,672.50 : x
2. Step 2: Convert to fraction form
   12,993/19,672.50 = 19,672.50/x
3. Step 3: Cross multiply
   12,993x = 19,672.50 × 19,672.50
4. Step 4: Simplify right side
   12,993x = 387,007,256.25
5. Step 5: Solve for x
   x = 387,007,256.25/12,993
6. Step 6: Final answer
   x = 29,785.83