Finding the Third Proportional to 12,785.50 and 19,623.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,785.50 : 19,623.75 = 19,623.75 : x
2. Step 2: Convert to fraction form
   12,785.50/19,623.75 = 19,623.75/x
3. Step 3: Cross multiply
   12,785.50x = 19,623.75 × 19,623.75
4. Step 4: Simplify right side
   12,785.50x = 385,091,564.06
5. Step 5: Solve for x
   x = 385,091,564.06/12,785.50
6. Step 6: Final answer
   x = 30,119.40