Finding the Third Proportional to 10,640 and 19,552

Step by Step Solution

1. Step 1: Write the proportion equation
   10,640 : 19,552 = 19,552 : x
2. Step 2: Convert to fraction form
   10,640/19,552 = 19,552/x
3. Step 3: Cross multiply
   10,640x = 19,552 × 19,552
4. Step 4: Simplify right side
   10,640x = 382,280,704
5. Step 5: Solve for x
   x = 382,280,704/10,640
6. Step 6: Final answer
   x = 35,928.64