Finding the Third Proportional to 13,294 and 31,361

Step by Step Solution

1. Step 1: Write the proportion equation
   13,294 : 31,361 = 31,361 : x
2. Step 2: Convert to fraction form
   13,294/31,361 = 31,361/x
3. Step 3: Cross multiply
   13,294x = 31,361 × 31,361
4. Step 4: Simplify right side
   13,294x = 983,512,321
5. Step 5: Solve for x
   x = 983,512,321/13,294
6. Step 6: Final answer
   x = 73,981.67