Finding the Third Proportional to 983.50 and 2,094.50

Step by Step Solution

1. Step 1: Write the proportion equation
   983.50 : 2,094.50 = 2,094.50 : x
2. Step 2: Convert to fraction form
   983.50/2,094.50 = 2,094.50/x
3. Step 3: Cross multiply
   983.50x = 2,094.50 × 2,094.50
4. Step 4: Simplify right side
   983.50x = 4,386,930.25
5. Step 5: Solve for x
   x = 4,386,930.25/983.50
6. Step 6: Final answer
   x = 4,460.53