Finding the Third Proportional to 1,433 and 3,830.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,433 : 3,830.50 = 3,830.50 : x
2. Step 2: Convert to fraction form
   1,433/3,830.50 = 3,830.50/x
3. Step 3: Cross multiply
   1,433x = 3,830.50 × 3,830.50
4. Step 4: Simplify right side
   1,433x = 14,672,730.25
5. Step 5: Solve for x
   x = 14,672,730.25/1,433
6. Step 6: Final answer
   x = 10,239.17