Finding the Third Proportional to 27,666 and 42,309

Step by Step Solution

1. Step 1: Write the proportion equation
   27,666 : 42,309 = 42,309 : x
2. Step 2: Convert to fraction form
   27,666/42,309 = 42,309/x
3. Step 3: Cross multiply
   27,666x = 42,309 × 42,309
4. Step 4: Simplify right side
   27,666x = 1,790,051,481
5. Step 5: Solve for x
   x = 1,790,051,481/27,666
6. Step 6: Final answer
   x = 64,702.22