Finding the Third Proportional to 12,821.75 and 19,403.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,821.75 : 19,403.50 = 19,403.50 : x
2. Step 2: Convert to fraction form
   12,821.75/19,403.50 = 19,403.50/x
3. Step 3: Cross multiply
   12,821.75x = 19,403.50 × 19,403.50
4. Step 4: Simplify right side
   12,821.75x = 376,495,812.25
5. Step 5: Solve for x
   x = 376,495,812.25/12,821.75
6. Step 6: Final answer
   x = 29,363.84