Finding the Third Proportional to 31,284 and 65,148

Step by Step Solution

1. Step 1: Write the proportion equation
   31,284 : 65,148 = 65,148 : x
2. Step 2: Convert to fraction form
   31,284/65,148 = 65,148/x
3. Step 3: Cross multiply
   31,284x = 65,148 × 65,148
4. Step 4: Simplify right side
   31,284x = 4,244,261,904
5. Step 5: Solve for x
   x = 4,244,261,904/31,284
6. Step 6: Final answer
   x = 135,668.77