Finding the Third Proportional to 27,756 and 59,478

Step by Step Solution

1. Step 1: Write the proportion equation
   27,756 : 59,478 = 59,478 : x
2. Step 2: Convert to fraction form
   27,756/59,478 = 59,478/x
3. Step 3: Cross multiply
   27,756x = 59,478 × 59,478
4. Step 4: Simplify right side
   27,756x = 3,537,632,484
5. Step 5: Solve for x
   x = 3,537,632,484/27,756
6. Step 6: Final answer
   x = 127,454.69