Finding the Third Proportional to 777.41 and 1,738.02

Step by Step Solution

1. Step 1: Write the proportion equation
   777.41 : 1,738.02 = 1,738.02 : x
2. Step 2: Convert to fraction form
   777.41/1,738.02 = 1,738.02/x
3. Step 3: Cross multiply
   777.41x = 1,738.02 × 1,738.02
4. Step 4: Simplify right side
   777.41x = 3,020,711.89
5. Step 5: Solve for x
   x = 3,020,711.89/777.41
6. Step 6: Final answer
   x = 3,885.61