Finding the Third Proportional to 10,428 and 19,290

Step by Step Solution

1. Step 1: Write the proportion equation
   10,428 : 19,290 = 19,290 : x
2. Step 2: Convert to fraction form
   10,428/19,290 = 19,290/x
3. Step 3: Cross multiply
   10,428x = 19,290 × 19,290
4. Step 4: Simplify right side
   10,428x = 372,104,100
5. Step 5: Solve for x
   x = 372,104,100/10,428
6. Step 6: Final answer
   x = 35,683.17