Finding the Third Proportional to 7,785 and 12,085.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,785 : 12,085.50 = 12,085.50 : x
2. Step 2: Convert to fraction form
   7,785/12,085.50 = 12,085.50/x
3. Step 3: Cross multiply
   7,785x = 12,085.50 × 12,085.50
4. Step 4: Simplify right side
   7,785x = 146,059,310.25
5. Step 5: Solve for x
   x = 146,059,310.25/7,785
6. Step 6: Final answer
   x = 18,761.63