Finding the Third Proportional to 36,880 and 53,016

Step by Step Solution

1. Step 1: Write the proportion equation
   36,880 : 53,016 = 53,016 : x
2. Step 2: Convert to fraction form
   36,880/53,016 = 53,016/x
3. Step 3: Cross multiply
   36,880x = 53,016 × 53,016
4. Step 4: Simplify right side
   36,880x = 2,810,696,256
5. Step 5: Solve for x
   x = 2,810,696,256/36,880
6. Step 6: Final answer
   x = 76,211.94