Finding the Third Proportional to 13,169 and 31,736

Step by Step Solution

1. Step 1: Write the proportion equation
   13,169 : 31,736 = 31,736 : x
2. Step 2: Convert to fraction form
   13,169/31,736 = 31,736/x
3. Step 3: Cross multiply
   13,169x = 31,736 × 31,736
4. Step 4: Simplify right side
   13,169x = 1,007,173,696
5. Step 5: Solve for x
   x = 1,007,173,696/13,169
6. Step 6: Final answer
   x = 76,480.65