Finding the Third Proportional to 13,097 and 28,269

Step by Step Solution

1. Step 1: Write the proportion equation
   13,097 : 28,269 = 28,269 : x
2. Step 2: Convert to fraction form
   13,097/28,269 = 28,269/x
3. Step 3: Cross multiply
   13,097x = 28,269 × 28,269
4. Step 4: Simplify right side
   13,097x = 799,136,361
5. Step 5: Solve for x
   x = 799,136,361/13,097
6. Step 6: Final answer
   x = 61,016.75