Finding the Third Proportional to 910.62 and 1,406.27

Step by Step Solution

1. Step 1: Write the proportion equation
   910.62 : 1,406.27 = 1,406.27 : x
2. Step 2: Convert to fraction form
   910.62/1,406.27 = 1,406.27/x
3. Step 3: Cross multiply
   910.62x = 1,406.27 × 1,406.27
4. Step 4: Simplify right side
   910.62x = 1,977,588.50
5. Step 5: Solve for x
   x = 1,977,588.50/910.62
6. Step 6: Final answer
   x = 2,171.70