Finding the Third Proportional to 35,519 and 53,034

Step by Step Solution

1. Step 1: Write the proportion equation
   35,519 : 53,034 = 53,034 : x
2. Step 2: Convert to fraction form
   35,519/53,034 = 53,034/x
3. Step 3: Cross multiply
   35,519x = 53,034 × 53,034
4. Step 4: Simplify right side
   35,519x = 2,812,605,156
5. Step 5: Solve for x
   x = 2,812,605,156/35,519
6. Step 6: Final answer
   x = 79,185.93