Finding the Third Proportional to 27,329 and 59,768

Step by Step Solution

1. Step 1: Write the proportion equation
   27,329 : 59,768 = 59,768 : x
2. Step 2: Convert to fraction form
   27,329/59,768 = 59,768/x
3. Step 3: Cross multiply
   27,329x = 59,768 × 59,768
4. Step 4: Simplify right side
   27,329x = 3,572,213,824
5. Step 5: Solve for x
   x = 3,572,213,824/27,329
6. Step 6: Final answer
   x = 130,711.47