Finding the Third Proportional to 1,137.94 and 2,327.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,137.94 : 2,327.63 = 2,327.63 : x
2. Step 2: Convert to fraction form
   1,137.94/2,327.63 = 2,327.63/x
3. Step 3: Cross multiply
   1,137.94x = 2,327.63 × 2,327.63
4. Step 4: Simplify right side
   1,137.94x = 5,417,838.14
5. Step 5: Solve for x
   x = 5,417,838.14/1,137.94
6. Step 6: Final answer
   x = 4,761.10