Finding the Third Proportional to 16,520 and 35,768

Step by Step Solution

1. Step 1: Write the proportion equation
   16,520 : 35,768 = 35,768 : x
2. Step 2: Convert to fraction form
   16,520/35,768 = 35,768/x
3. Step 3: Cross multiply
   16,520x = 35,768 × 35,768
4. Step 4: Simplify right side
   16,520x = 1,279,349,824
5. Step 5: Solve for x
   x = 1,279,349,824/16,520
6. Step 6: Final answer
   x = 77,442.48