Finding the Third Proportional to 693.94 and 1,030.38

Step by Step Solution

1. Step 1: Write the proportion equation
   693.94 : 1,030.38 = 1,030.38 : x
2. Step 2: Convert to fraction form
   693.94/1,030.38 = 1,030.38/x
3. Step 3: Cross multiply
   693.94x = 1,030.38 × 1,030.38
4. Step 4: Simplify right side
   693.94x = 1,061,672.64
5. Step 5: Solve for x
   x = 1,061,672.64/693.94
6. Step 6: Final answer
   x = 1,529.93