Finding the Third Proportional to 9,154 and 19,688

Step by Step Solution

1. Step 1: Write the proportion equation
   9,154 : 19,688 = 19,688 : x
2. Step 2: Convert to fraction form
   9,154/19,688 = 19,688/x
3. Step 3: Cross multiply
   9,154x = 19,688 × 19,688
4. Step 4: Simplify right side
   9,154x = 387,617,344
5. Step 5: Solve for x
   x = 387,617,344/9,154
6. Step 6: Final answer
   x = 42,344.04