Finding the Third Proportional to 1,902 and 5,128.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,902 : 5,128.50 = 5,128.50 : x
2. Step 2: Convert to fraction form
   1,902/5,128.50 = 5,128.50/x
3. Step 3: Cross multiply
   1,902x = 5,128.50 × 5,128.50
4. Step 4: Simplify right side
   1,902x = 26,301,512.25
5. Step 5: Solve for x
   x = 26,301,512.25/1,902
6. Step 6: Final answer
   x = 13,828.35