Finding the Third Proportional to 9,688 and 15,820

Step by Step Solution

1. Step 1: Write the proportion equation
   9,688 : 15,820 = 15,820 : x
2. Step 2: Convert to fraction form
   9,688/15,820 = 15,820/x
3. Step 3: Cross multiply
   9,688x = 15,820 × 15,820
4. Step 4: Simplify right side
   9,688x = 250,272,400
5. Step 5: Solve for x
   x = 250,272,400/9,688
6. Step 6: Final answer
   x = 25,833.24