Finding the Third Proportional to 10,012.50 and 12,822.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,012.50 : 12,822.75 = 12,822.75 : x
2. Step 2: Convert to fraction form
   10,012.50/12,822.75 = 12,822.75/x
3. Step 3: Cross multiply
   10,012.50x = 12,822.75 × 12,822.75
4. Step 4: Simplify right side
   10,012.50x = 164,422,917.56
5. Step 5: Solve for x
   x = 164,422,917.56/10,012.50
6. Step 6: Final answer
   x = 16,421.76