Finding the Third Proportional to 777.94 and 1,844.72

Step by Step Solution

1. Step 1: Write the proportion equation
   777.94 : 1,844.72 = 1,844.72 : x
2. Step 2: Convert to fraction form
   777.94/1,844.72 = 1,844.72/x
3. Step 3: Cross multiply
   777.94x = 1,844.72 × 1,844.72
4. Step 4: Simplify right side
   777.94x = 3,402,987.27
5. Step 5: Solve for x
   x = 3,402,987.27/777.94
6. Step 6: Final answer
   x = 4,374.37