Finding the Third Proportional to 17,766 and 27,513

Step by Step Solution

1. Step 1: Write the proportion equation
   17,766 : 27,513 = 27,513 : x
2. Step 2: Convert to fraction form
   17,766/27,513 = 27,513/x
3. Step 3: Cross multiply
   17,766x = 27,513 × 27,513
4. Step 4: Simplify right side
   17,766x = 756,965,169
5. Step 5: Solve for x
   x = 756,965,169/17,766
6. Step 6: Final answer
   x = 42,607.52