Finding the Third Proportional to 13,454 and 31,264

Step by Step Solution

1. Step 1: Write the proportion equation
   13,454 : 31,264 = 31,264 : x
2. Step 2: Convert to fraction form
   13,454/31,264 = 31,264/x
3. Step 3: Cross multiply
   13,454x = 31,264 × 31,264
4. Step 4: Simplify right side
   13,454x = 977,437,696
5. Step 5: Solve for x
   x = 977,437,696/13,454
6. Step 6: Final answer
   x = 72,650.34