Finding the Third Proportional to 906.38 and 1,402.69

Step by Step Solution

1. Step 1: Write the proportion equation
   906.38 : 1,402.69 = 1,402.69 : x
2. Step 2: Convert to fraction form
   906.38/1,402.69 = 1,402.69/x
3. Step 3: Cross multiply
   906.38x = 1,402.69 × 1,402.69
4. Step 4: Simplify right side
   906.38x = 1,967,532.22
5. Step 5: Solve for x
   x = 1,967,532.22/906.38
6. Step 6: Final answer
   x = 2,170.77