Finding the Third Proportional to 27,748 and 42,695

Step by Step Solution

1. Step 1: Write the proportion equation
   27,748 : 42,695 = 42,695 : x
2. Step 2: Convert to fraction form
   27,748/42,695 = 42,695/x
3. Step 3: Cross multiply
   27,748x = 42,695 × 42,695
4. Step 4: Simplify right side
   27,748x = 1,822,863,025
5. Step 5: Solve for x
   x = 1,822,863,025/27,748
6. Step 6: Final answer
   x = 65,693.49