Finding the Third Proportional to 9,688.78 and 17,465.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,688.78 : 17,465.20 = 17,465.20 : x
2. Step 2: Convert to fraction form
   9,688.78/17,465.20 = 17,465.20/x
3. Step 3: Cross multiply
   9,688.78x = 17,465.20 × 17,465.20
4. Step 4: Simplify right side
   9,688.78x = 305,033,320.20
5. Step 5: Solve for x
   x = 305,033,320.20/9,688.78
6. Step 6: Final answer
   x = 31,483.15