Finding the Third Proportional to 1,259.93 and 1,762.45

Step by Step Solution

1. Step 1: Write the proportion equation
   1,259.93 : 1,762.45 = 1,762.45 : x
2. Step 2: Convert to fraction form
   1,259.93/1,762.45 = 1,762.45/x
3. Step 3: Cross multiply
   1,259.93x = 1,762.45 × 1,762.45
4. Step 4: Simplify right side
   1,259.93x = 3,106,241.02
5. Step 5: Solve for x
   x = 3,106,241.02/1,259.93
6. Step 6: Final answer
   x = 2,465.41