Finding the Third Proportional to 27,435 and 59,780

Step by Step Solution

1. Step 1: Write the proportion equation
   27,435 : 59,780 = 59,780 : x
2. Step 2: Convert to fraction form
   27,435/59,780 = 59,780/x
3. Step 3: Cross multiply
   27,435x = 59,780 × 59,780
4. Step 4: Simplify right side
   27,435x = 3,573,648,400
5. Step 5: Solve for x
   x = 3,573,648,400/27,435
6. Step 6: Final answer
   x = 130,258.74