Finding the Third Proportional to 27,774 and 59,562

Step by Step Solution

1. Step 1: Write the proportion equation
   27,774 : 59,562 = 59,562 : x
2. Step 2: Convert to fraction form
   27,774/59,562 = 59,562/x
3. Step 3: Cross multiply
   27,774x = 59,562 × 59,562
4. Step 4: Simplify right side
   27,774x = 3,547,631,844
5. Step 5: Solve for x
   x = 3,547,631,844/27,774
6. Step 6: Final answer
   x = 127,732.12