Finding the Third Proportional to 5,085.75 and 7,877.81

Step by Step Solution

1. Step 1: Write the proportion equation
   5,085.75 : 7,877.81 = 7,877.81 : x
2. Step 2: Convert to fraction form
   5,085.75/7,877.81 = 7,877.81/x
3. Step 3: Cross multiply
   5,085.75x = 7,877.81 × 7,877.81
4. Step 4: Simplify right side
   5,085.75x = 62,059,929.79
5. Step 5: Solve for x
   x = 62,059,929.79/5,085.75
6. Step 6: Final answer
   x = 12,202.71