Finding the Third Proportional to 1,334.81 and 1,420.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,334.81 : 1,420.03 = 1,420.03 : x
2. Step 2: Convert to fraction form
   1,334.81/1,420.03 = 1,420.03/x
3. Step 3: Cross multiply
   1,334.81x = 1,420.03 × 1,420.03
4. Step 4: Simplify right side
   1,334.81x = 2,016,488.75
5. Step 5: Solve for x
   x = 2,016,488.75/1,334.81
6. Step 6: Final answer
   x = 1,510.69