Finding the Third Proportional to 431.34 and 931.69

Step by Step Solution

1. Step 1: Write the proportion equation
   431.34 : 931.69 = 931.69 : x
2. Step 2: Convert to fraction form
   431.34/931.69 = 931.69/x
3. Step 3: Cross multiply
   431.34x = 931.69 × 931.69
4. Step 4: Simplify right side
   431.34x = 868,041.60
5. Step 5: Solve for x
   x = 868,041.60/431.34
6. Step 6: Final answer
   x = 2,012.41