Finding the Third Proportional to 27,836 and 59,562

Step by Step Solution

1. Step 1: Write the proportion equation
   27,836 : 59,562 = 59,562 : x
2. Step 2: Convert to fraction form
   27,836/59,562 = 59,562/x
3. Step 3: Cross multiply
   27,836x = 59,562 × 59,562
4. Step 4: Simplify right side
   27,836x = 3,547,631,844
5. Step 5: Solve for x
   x = 3,547,631,844/27,836
6. Step 6: Final answer
   x = 127,447.62