Finding the Third Proportional to 32,680 and 69,968

Step by Step Solution

1. Step 1: Write the proportion equation
   32,680 : 69,968 = 69,968 : x
2. Step 2: Convert to fraction form
   32,680/69,968 = 69,968/x
3. Step 3: Cross multiply
   32,680x = 69,968 × 69,968
4. Step 4: Simplify right side
   32,680x = 4,895,521,024
5. Step 5: Solve for x
   x = 4,895,521,024/32,680
6. Step 6: Final answer
   x = 149,801.74