Finding the Third Proportional to 15,680 and 32,656

Step by Step Solution

1. Step 1: Write the proportion equation
   15,680 : 32,656 = 32,656 : x
2. Step 2: Convert to fraction form
   15,680/32,656 = 32,656/x
3. Step 3: Cross multiply
   15,680x = 32,656 × 32,656
4. Step 4: Simplify right side
   15,680x = 1,066,414,336
5. Step 5: Solve for x
   x = 1,066,414,336/15,680
6. Step 6: Final answer
   x = 68,011.12