Finding the Third Proportional to 34,040 and 52,768

Step by Step Solution

1. Step 1: Write the proportion equation
   34,040 : 52,768 = 52,768 : x
2. Step 2: Convert to fraction form
   34,040/52,768 = 52,768/x
3. Step 3: Cross multiply
   34,040x = 52,768 × 52,768
4. Step 4: Simplify right side
   34,040x = 2,784,461,824
5. Step 5: Solve for x
   x = 2,784,461,824/34,040
6. Step 6: Final answer
   x = 81,799.70