Finding the Third Proportional to 510.38 and 736.88

Step by Step Solution

1. Step 1: Write the proportion equation
   510.38 : 736.88 = 736.88 : x
2. Step 2: Convert to fraction form
   510.38/736.88 = 736.88/x
3. Step 3: Cross multiply
   510.38x = 736.88 × 736.88
4. Step 4: Simplify right side
   510.38x = 542,984.77
5. Step 5: Solve for x
   x = 542,984.77/510.38
6. Step 6: Final answer
   x = 1,063.89