Finding the Third Proportional to 1,535 and 2,291.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535 : 2,291.50 = 2,291.50 : x
2. Step 2: Convert to fraction form
   1,535/2,291.50 = 2,291.50/x
3. Step 3: Cross multiply
   1,535x = 2,291.50 × 2,291.50
4. Step 4: Simplify right side
   1,535x = 5,250,972.25
5. Step 5: Solve for x
   x = 5,250,972.25/1,535
6. Step 6: Final answer
   x = 3,420.83