Finding the Third Proportional to 1,525.88 and 1,937.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,525.88 : 1,937.25 = 1,937.25 : x
2. Step 2: Convert to fraction form
   1,525.88/1,937.25 = 1,937.25/x
3. Step 3: Cross multiply
   1,525.88x = 1,937.25 × 1,937.25
4. Step 4: Simplify right side
   1,525.88x = 3,752,937.56
5. Step 5: Solve for x
   x = 3,752,937.56/1,525.88
6. Step 6: Final answer
   x = 2,459.53