Finding the Third Proportional to 7,787.25 and 12,026.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,787.25 : 12,026.25 = 12,026.25 : x
2. Step 2: Convert to fraction form
   7,787.25/12,026.25 = 12,026.25/x
3. Step 3: Cross multiply
   7,787.25x = 12,026.25 × 12,026.25
4. Step 4: Simplify right side
   7,787.25x = 144,630,689.06
5. Step 5: Solve for x
   x = 144,630,689.06/7,787.25
6. Step 6: Final answer
   x = 18,572.76