Finding the Third Proportional to 13,264 and 31,360

Step by Step Solution

1. Step 1: Write the proportion equation
   13,264 : 31,360 = 31,360 : x
2. Step 2: Convert to fraction form
   13,264/31,360 = 31,360/x
3. Step 3: Cross multiply
   13,264x = 31,360 × 31,360
4. Step 4: Simplify right side
   13,264x = 983,449,600
5. Step 5: Solve for x
   x = 983,449,600/13,264
6. Step 6: Final answer
   x = 74,144.27