Finding the Third Proportional to 899.50 and 1,215.25

Step by Step Solution

1. Step 1: Write the proportion equation
   899.50 : 1,215.25 = 1,215.25 : x
2. Step 2: Convert to fraction form
   899.50/1,215.25 = 1,215.25/x
3. Step 3: Cross multiply
   899.50x = 1,215.25 × 1,215.25
4. Step 4: Simplify right side
   899.50x = 1,476,832.56
5. Step 5: Solve for x
   x = 1,476,832.56/899.50
6. Step 6: Final answer
   x = 1,641.84