Finding the Third Proportional to 2,109.50 and 3,038.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.50 : 3,038.50 = 3,038.50 : x
2. Step 2: Convert to fraction form
   2,109.50/3,038.50 = 3,038.50/x
3. Step 3: Cross multiply
   2,109.50x = 3,038.50 × 3,038.50
4. Step 4: Simplify right side
   2,109.50x = 9,232,482.25
5. Step 5: Solve for x
   x = 9,232,482.25/2,109.50
6. Step 6: Final answer
   x = 4,376.62