Finding the Third Proportional to 1,137.64 and 2,475.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,137.64 : 2,475.56 = 2,475.56 : x
2. Step 2: Convert to fraction form
   1,137.64/2,475.56 = 2,475.56/x
3. Step 3: Cross multiply
   1,137.64x = 2,475.56 × 2,475.56
4. Step 4: Simplify right side
   1,137.64x = 6,128,409.69
5. Step 5: Solve for x
   x = 6,128,409.69/1,137.64
6. Step 6: Final answer
   x = 5,386.96