Finding the Third Proportional to 1,528 and 2,373.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,528 : 2,373.50 = 2,373.50 : x
2. Step 2: Convert to fraction form
   1,528/2,373.50 = 2,373.50/x
3. Step 3: Cross multiply
   1,528x = 2,373.50 × 2,373.50
4. Step 4: Simplify right side
   1,528x = 5,633,502.25
5. Step 5: Solve for x
   x = 5,633,502.25/1,528
6. Step 6: Final answer
   x = 3,686.85