Finding the Third Proportional to 27,761 and 59,488

Step by Step Solution

1. Step 1: Write the proportion equation
   27,761 : 59,488 = 59,488 : x
2. Step 2: Convert to fraction form
   27,761/59,488 = 59,488/x
3. Step 3: Cross multiply
   27,761x = 59,488 × 59,488
4. Step 4: Simplify right side
   27,761x = 3,538,822,144
5. Step 5: Solve for x
   x = 3,538,822,144/27,761
6. Step 6: Final answer
   x = 127,474.59