Finding the Third Proportional to 27,116 and 42,549

Step by Step Solution

1. Step 1: Write the proportion equation
   27,116 : 42,549 = 42,549 : x
2. Step 2: Convert to fraction form
   27,116/42,549 = 42,549/x
3. Step 3: Cross multiply
   27,116x = 42,549 × 42,549
4. Step 4: Simplify right side
   27,116x = 1,810,417,401
5. Step 5: Solve for x
   x = 1,810,417,401/27,116
6. Step 6: Final answer
   x = 66,765.65