Finding the Third Proportional to 27,780 and 58,662

Step by Step Solution

1. Step 1: Write the proportion equation
   27,780 : 58,662 = 58,662 : x
2. Step 2: Convert to fraction form
   27,780/58,662 = 58,662/x
3. Step 3: Cross multiply
   27,780x = 58,662 × 58,662
4. Step 4: Simplify right side
   27,780x = 3,441,230,244
5. Step 5: Solve for x
   x = 3,441,230,244/27,780
6. Step 6: Final answer
   x = 123,874.38