Finding the Third Proportional to 34,644 and 52,006

Step by Step Solution

1. Step 1: Write the proportion equation
   34,644 : 52,006 = 52,006 : x
2. Step 2: Convert to fraction form
   34,644/52,006 = 52,006/x
3. Step 3: Cross multiply
   34,644x = 52,006 × 52,006
4. Step 4: Simplify right side
   34,644x = 2,704,624,036
5. Step 5: Solve for x
   x = 2,704,624,036/34,644
6. Step 6: Final answer
   x = 78,069.05