Finding the Third Proportional to 1,003.31 and 1,172.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.31 : 1,172.06 = 1,172.06 : x
2. Step 2: Convert to fraction form
   1,003.31/1,172.06 = 1,172.06/x
3. Step 3: Cross multiply
   1,003.31x = 1,172.06 × 1,172.06
4. Step 4: Simplify right side
   1,003.31x = 1,373,730.50
5. Step 5: Solve for x
   x = 1,373,730.50/1,003.31
6. Step 6: Final answer
   x = 1,369.20