Finding the Third Proportional to 885.50 and 1,322.25

Step by Step Solution

1. Step 1: Write the proportion equation
   885.50 : 1,322.25 = 1,322.25 : x
2. Step 2: Convert to fraction form
   885.50/1,322.25 = 1,322.25/x
3. Step 3: Cross multiply
   885.50x = 1,322.25 × 1,322.25
4. Step 4: Simplify right side
   885.50x = 1,748,345.06
5. Step 5: Solve for x
   x = 1,748,345.06/885.50
6. Step 6: Final answer
   x = 1,974.42