Finding the Third Proportional to 1,900.50 and 5,142.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,900.50 : 5,142.75 = 5,142.75 : x
2. Step 2: Convert to fraction form
   1,900.50/5,142.75 = 5,142.75/x
3. Step 3: Cross multiply
   1,900.50x = 5,142.75 × 5,142.75
4. Step 4: Simplify right side
   1,900.50x = 26,447,877.56
5. Step 5: Solve for x
   x = 26,447,877.56/1,900.50
6. Step 6: Final answer
   x = 13,916.27