Finding the Third Proportional to 12,576.75 and 13,822.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,576.75 : 13,822.50 = 13,822.50 : x
2. Step 2: Convert to fraction form
   12,576.75/13,822.50 = 13,822.50/x
3. Step 3: Cross multiply
   12,576.75x = 13,822.50 × 13,822.50
4. Step 4: Simplify right side
   12,576.75x = 191,061,506.25
5. Step 5: Solve for x
   x = 191,061,506.25/12,576.75
6. Step 6: Final answer
   x = 15,191.64