Finding the Third Proportional to 983.50 and 1,421.50

Step by Step Solution

1. Step 1: Write the proportion equation
   983.50 : 1,421.50 = 1,421.50 : x
2. Step 2: Convert to fraction form
   983.50/1,421.50 = 1,421.50/x
3. Step 3: Cross multiply
   983.50x = 1,421.50 × 1,421.50
4. Step 4: Simplify right side
   983.50x = 2,020,662.25
5. Step 5: Solve for x
   x = 2,020,662.25/983.50
6. Step 6: Final answer
   x = 2,054.56