Finding the Third Proportional to 1,902 and 5,146.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,902 : 5,146.50 = 5,146.50 : x
2. Step 2: Convert to fraction form
   1,902/5,146.50 = 5,146.50/x
3. Step 3: Cross multiply
   1,902x = 5,146.50 × 5,146.50
4. Step 4: Simplify right side
   1,902x = 26,486,462.25
5. Step 5: Solve for x
   x = 26,486,462.25/1,902
6. Step 6: Final answer
   x = 13,925.58