Finding the Third Proportional to 12,415.78 and 13,873.78

Step by Step Solution

1. Step 1: Write the proportion equation
   12,415.78 : 13,873.78 = 13,873.78 : x
2. Step 2: Convert to fraction form
   12,415.78/13,873.78 = 13,873.78/x
3. Step 3: Cross multiply
   12,415.78x = 13,873.78 × 13,873.78
4. Step 4: Simplify right side
   12,415.78x = 192,481,806.17
5. Step 5: Solve for x
   x = 192,481,806.17/12,415.78
6. Step 6: Final answer
   x = 15,503.00