Finding the Third Proportional to 32,556 and 69,768

Step by Step Solution

1. Step 1: Write the proportion equation
   32,556 : 69,768 = 69,768 : x
2. Step 2: Convert to fraction form
   32,556/69,768 = 69,768/x
3. Step 3: Cross multiply
   32,556x = 69,768 × 69,768
4. Step 4: Simplify right side
   32,556x = 4,867,573,824
5. Step 5: Solve for x
   x = 4,867,573,824/32,556
6. Step 6: Final answer
   x = 149,513.88