Finding the Third Proportional to 1,903.50 and 4,178.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,903.50 : 4,178.25 = 4,178.25 : x
2. Step 2: Convert to fraction form
   1,903.50/4,178.25 = 4,178.25/x
3. Step 3: Cross multiply
   1,903.50x = 4,178.25 × 4,178.25
4. Step 4: Simplify right side
   1,903.50x = 17,457,773.06
5. Step 5: Solve for x
   x = 17,457,773.06/1,903.50
6. Step 6: Final answer
   x = 9,171.41