Finding the Third Proportional to 14,816 and 35,072

Step by Step Solution

1. Step 1: Write the proportion equation
   14,816 : 35,072 = 35,072 : x
2. Step 2: Convert to fraction form
   14,816/35,072 = 35,072/x
3. Step 3: Cross multiply
   14,816x = 35,072 × 35,072
4. Step 4: Simplify right side
   14,816x = 1,230,045,184
5. Step 5: Solve for x
   x = 1,230,045,184/14,816
6. Step 6: Final answer
   x = 83,021.41