Finding the Third Proportional to 915 and 1,380.25

Step by Step Solution

1. Step 1: Write the proportion equation
   915 : 1,380.25 = 1,380.25 : x
2. Step 2: Convert to fraction form
   915/1,380.25 = 1,380.25/x
3. Step 3: Cross multiply
   915x = 1,380.25 × 1,380.25
4. Step 4: Simplify right side
   915x = 1,905,090.06
5. Step 5: Solve for x
   x = 1,905,090.06/915
6. Step 6: Final answer
   x = 2,082.07