Finding the Third Proportional to 7,906.50 and 12,588.75

Step by Step Solution

1. Step 1: Write the proportion equation
   7,906.50 : 12,588.75 = 12,588.75 : x
2. Step 2: Convert to fraction form
   7,906.50/12,588.75 = 12,588.75/x
3. Step 3: Cross multiply
   7,906.50x = 12,588.75 × 12,588.75
4. Step 4: Simplify right side
   7,906.50x = 158,476,626.56
5. Step 5: Solve for x
   x = 158,476,626.56/7,906.50
6. Step 6: Final answer
   x = 20,043.84