Finding the Third Proportional to 1,900.50 and 5,134.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,900.50 : 5,134.50 = 5,134.50 : x
2. Step 2: Convert to fraction form
   1,900.50/5,134.50 = 5,134.50/x
3. Step 3: Cross multiply
   1,900.50x = 5,134.50 × 5,134.50
4. Step 4: Simplify right side
   1,900.50x = 26,363,090.25
5. Step 5: Solve for x
   x = 26,363,090.25/1,900.50
6. Step 6: Final answer
   x = 13,871.66