Finding the Third Proportional to 11,772.21 and 12,825.84

Step by Step Solution

1. Step 1: Write the proportion equation
   11,772.21 : 12,825.84 = 12,825.84 : x
2. Step 2: Convert to fraction form
   11,772.21/12,825.84 = 12,825.84/x
3. Step 3: Cross multiply
   11,772.21x = 12,825.84 × 12,825.84
4. Step 4: Simplify right side
   11,772.21x = 164,502,267.90
5. Step 5: Solve for x
   x = 164,502,267.90/11,772.21
6. Step 6: Final answer
   x = 13,973.78