Finding the Third Proportional to 602.23 and 1,300.01

Step by Step Solution

1. Step 1: Write the proportion equation
   602.23 : 1,300.01 = 1,300.01 : x
2. Step 2: Convert to fraction form
   602.23/1,300.01 = 1,300.01/x
3. Step 3: Cross multiply
   602.23x = 1,300.01 × 1,300.01
4. Step 4: Simplify right side
   602.23x = 1,690,020.31
5. Step 5: Solve for x
   x = 1,690,020.31/602.23
6. Step 6: Final answer
   x = 2,806.29