Finding the Third Proportional to 7,460 and 17,795

Step by Step Solution

1. Step 1: Write the proportion equation
   7,460 : 17,795 = 17,795 : x
2. Step 2: Convert to fraction form
   7,460/17,795 = 17,795/x
3. Step 3: Cross multiply
   7,460x = 17,795 × 17,795
4. Step 4: Simplify right side
   7,460x = 316,662,025
5. Step 5: Solve for x
   x = 316,662,025/7,460
6. Step 6: Final answer
   x = 42,447.99