Finding the Third Proportional to 693.88 and 747.04

Step by Step Solution

1. Step 1: Write the proportion equation
   693.88 : 747.04 = 747.04 : x
2. Step 2: Convert to fraction form
   693.88/747.04 = 747.04/x
3. Step 3: Cross multiply
   693.88x = 747.04 × 747.04
4. Step 4: Simplify right side
   693.88x = 558,061.52
5. Step 5: Solve for x
   x = 558,061.52/693.88
6. Step 6: Final answer
   x = 804.26