Finding the Third Proportional to 27,758 and 59,482

Step by Step Solution

1. Step 1: Write the proportion equation
   27,758 : 59,482 = 59,482 : x
2. Step 2: Convert to fraction form
   27,758/59,482 = 59,482/x
3. Step 3: Cross multiply
   27,758x = 59,482 × 59,482
4. Step 4: Simplify right side
   27,758x = 3,538,108,324
5. Step 5: Solve for x
   x = 3,538,108,324/27,758
6. Step 6: Final answer
   x = 127,462.65