Finding the Third Proportional to 906 and 1,561.50

Step by Step Solution

1. Step 1: Write the proportion equation
   906 : 1,561.50 = 1,561.50 : x
2. Step 2: Convert to fraction form
   906/1,561.50 = 1,561.50/x
3. Step 3: Cross multiply
   906x = 1,561.50 × 1,561.50
4. Step 4: Simplify right side
   906x = 2,438,282.25
5. Step 5: Solve for x
   x = 2,438,282.25/906
6. Step 6: Final answer
   x = 2,691.26