Finding the Third Proportional to 904 and 1,335.50

Step by Step Solution

1. Step 1: Write the proportion equation
   904 : 1,335.50 = 1,335.50 : x
2. Step 2: Convert to fraction form
   904/1,335.50 = 1,335.50/x
3. Step 3: Cross multiply
   904x = 1,335.50 × 1,335.50
4. Step 4: Simplify right side
   904x = 1,783,560.25
5. Step 5: Solve for x
   x = 1,783,560.25/904
6. Step 6: Final answer
   x = 1,972.96