Finding the Third Proportional to 6,438 and 10,090

Step by Step Solution

1. Step 1: Write the proportion equation
   6,438 : 10,090 = 10,090 : x
2. Step 2: Convert to fraction form
   6,438/10,090 = 10,090/x
3. Step 3: Cross multiply
   6,438x = 10,090 × 10,090
4. Step 4: Simplify right side
   6,438x = 101,808,100
5. Step 5: Solve for x
   x = 101,808,100/6,438
6. Step 6: Final answer
   x = 15,813.62