Finding the Third Proportional to 785.25 and 1,845.56

Step by Step Solution

1. Step 1: Write the proportion equation
   785.25 : 1,845.56 = 1,845.56 : x
2. Step 2: Convert to fraction form
   785.25/1,845.56 = 1,845.56/x
3. Step 3: Cross multiply
   785.25x = 1,845.56 × 1,845.56
4. Step 4: Simplify right side
   785.25x = 3,406,100.94
5. Step 5: Solve for x
   x = 3,406,100.94/785.25
6. Step 6: Final answer
   x = 4,337.60