Finding the Third Proportional to 1,980.75 and 3,038.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,980.75 : 3,038.63 = 3,038.63 : x
2. Step 2: Convert to fraction form
   1,980.75/3,038.63 = 3,038.63/x
3. Step 3: Cross multiply
   1,980.75x = 3,038.63 × 3,038.63
4. Step 4: Simplify right side
   1,980.75x = 9,233,241.89
5. Step 5: Solve for x
   x = 9,233,241.89/1,980.75
6. Step 6: Final answer
   x = 4,661.49