Finding the Third Proportional to 13,700 and 31,966

Step by Step Solution

1. Step 1: Write the proportion equation
   13,700 : 31,966 = 31,966 : x
2. Step 2: Convert to fraction form
   13,700/31,966 = 31,966/x
3. Step 3: Cross multiply
   13,700x = 31,966 × 31,966
4. Step 4: Simplify right side
   13,700x = 1,021,825,156
5. Step 5: Solve for x
   x = 1,021,825,156/13,700
6. Step 6: Final answer
   x = 74,585.78