Finding the Third Proportional to 7,767.50 and 12,353.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,767.50 : 12,353.25 = 12,353.25 : x
2. Step 2: Convert to fraction form
   7,767.50/12,353.25 = 12,353.25/x
3. Step 3: Cross multiply
   7,767.50x = 12,353.25 × 12,353.25
4. Step 4: Simplify right side
   7,767.50x = 152,602,785.56
5. Step 5: Solve for x
   x = 152,602,785.56/7,767.50
6. Step 6: Final answer
   x = 19,646.32