Finding the Third Proportional to 882 and 1,353.50

Step by Step Solution

1. Step 1: Write the proportion equation
   882 : 1,353.50 = 1,353.50 : x
2. Step 2: Convert to fraction form
   882/1,353.50 = 1,353.50/x
3. Step 3: Cross multiply
   882x = 1,353.50 × 1,353.50
4. Step 4: Simplify right side
   882x = 1,831,962.25
5. Step 5: Solve for x
   x = 1,831,962.25/882
6. Step 6: Final answer
   x = 2,077.05