Finding the Third Proportional to 1,137.50 and 2,425.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,137.50 : 2,425.75 = 2,425.75 : x
2. Step 2: Convert to fraction form
   1,137.50/2,425.75 = 2,425.75/x
3. Step 3: Cross multiply
   1,137.50x = 2,425.75 × 2,425.75
4. Step 4: Simplify right side
   1,137.50x = 5,884,263.06
5. Step 5: Solve for x
   x = 5,884,263.06/1,137.50
6. Step 6: Final answer
   x = 5,172.98