Finding the Third Proportional to 27,770 and 59,644

Step by Step Solution

1. Step 1: Write the proportion equation
   27,770 : 59,644 = 59,644 : x
2. Step 2: Convert to fraction form
   27,770/59,644 = 59,644/x
3. Step 3: Cross multiply
   27,770x = 59,644 × 59,644
4. Step 4: Simplify right side
   27,770x = 3,557,406,736
5. Step 5: Solve for x
   x = 3,557,406,736/27,770
6. Step 6: Final answer
   x = 128,102.51