Finding the Third Proportional to 31,313 and 64,696

Step by Step Solution

1. Step 1: Write the proportion equation
   31,313 : 64,696 = 64,696 : x
2. Step 2: Convert to fraction form
   31,313/64,696 = 64,696/x
3. Step 3: Cross multiply
   31,313x = 64,696 × 64,696
4. Step 4: Simplify right side
   31,313x = 4,185,572,416
5. Step 5: Solve for x
   x = 4,185,572,416/31,313
6. Step 6: Final answer
   x = 133,668.84