Finding the Third Proportional to 1,137.63 and 1,739.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,137.63 : 1,739.50 = 1,739.50 : x
2. Step 2: Convert to fraction form
   1,137.63/1,739.50 = 1,739.50/x
3. Step 3: Cross multiply
   1,137.63x = 1,739.50 × 1,739.50
4. Step 4: Simplify right side
   1,137.63x = 3,025,860.25
5. Step 5: Solve for x
   x = 3,025,860.25/1,137.63
6. Step 6: Final answer
   x = 2,659.80