Finding the Third Proportional to 27,772 and 59,510

Step by Step Solution

1. Step 1: Write the proportion equation
   27,772 : 59,510 = 59,510 : x
2. Step 2: Convert to fraction form
   27,772/59,510 = 59,510/x
3. Step 3: Cross multiply
   27,772x = 59,510 × 59,510
4. Step 4: Simplify right side
   27,772x = 3,541,440,100
5. Step 5: Solve for x
   x = 3,541,440,100/27,772
6. Step 6: Final answer
   x = 127,518.37