Finding the Third Proportional to 32,992 and 64,288

Step by Step Solution

1. Step 1: Write the proportion equation
   32,992 : 64,288 = 64,288 : x
2. Step 2: Convert to fraction form
   32,992/64,288 = 64,288/x
3. Step 3: Cross multiply
   32,992x = 64,288 × 64,288
4. Step 4: Simplify right side
   32,992x = 4,132,946,944
5. Step 5: Solve for x
   x = 4,132,946,944/32,992
6. Step 6: Final answer
   x = 125,271.19