Finding the Third Proportional to 13,036 and 31,510

Step by Step Solution

1. Step 1: Write the proportion equation
   13,036 : 31,510 = 31,510 : x
2. Step 2: Convert to fraction form
   13,036/31,510 = 31,510/x
3. Step 3: Cross multiply
   13,036x = 31,510 × 31,510
4. Step 4: Simplify right side
   13,036x = 992,880,100
5. Step 5: Solve for x
   x = 992,880,100/13,036
6. Step 6: Final answer
   x = 76,164.48