Finding the Third Proportional to 1,298.53 and 1,351.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.53 : 1,351.69 = 1,351.69 : x
2. Step 2: Convert to fraction form
   1,298.53/1,351.69 = 1,351.69/x
3. Step 3: Cross multiply
   1,298.53x = 1,351.69 × 1,351.69
4. Step 4: Simplify right side
   1,298.53x = 1,827,059.10
5. Step 5: Solve for x
   x = 1,827,059.10/1,298.53
6. Step 6: Final answer
   x = 1,407.02