Finding the Third Proportional to 881.50 and 1,296.50

Step by Step Solution

1. Step 1: Write the proportion equation
   881.50 : 1,296.50 = 1,296.50 : x
2. Step 2: Convert to fraction form
   881.50/1,296.50 = 1,296.50/x
3. Step 3: Cross multiply
   881.50x = 1,296.50 × 1,296.50
4. Step 4: Simplify right side
   881.50x = 1,680,912.25
5. Step 5: Solve for x
   x = 1,680,912.25/881.50
6. Step 6: Final answer
   x = 1,906.88