Finding the Third Proportional to 969.47 and 1,417.50

Step by Step Solution

1. Step 1: Write the proportion equation
   969.47 : 1,417.50 = 1,417.50 : x
2. Step 2: Convert to fraction form
   969.47/1,417.50 = 1,417.50/x
3. Step 3: Cross multiply
   969.47x = 1,417.50 × 1,417.50
4. Step 4: Simplify right side
   969.47x = 2,009,306.25
5. Step 5: Solve for x
   x = 2,009,306.25/969.47
6. Step 6: Final answer
   x = 2,072.58