Finding the Third Proportional to 7,842.50 and 17,264

Step by Step Solution

1. Step 1: Write the proportion equation
   7,842.50 : 17,264 = 17,264 : x
2. Step 2: Convert to fraction form
   7,842.50/17,264 = 17,264/x
3. Step 3: Cross multiply
   7,842.50x = 17,264 × 17,264
4. Step 4: Simplify right side
   7,842.50x = 298,045,696
5. Step 5: Solve for x
   x = 298,045,696/7,842.50
6. Step 6: Final answer
   x = 38,003.91