Finding the Third Proportional to 38,362 and 82,052

Step by Step Solution

1. Step 1: Write the proportion equation
   38,362 : 82,052 = 82,052 : x
2. Step 2: Convert to fraction form
   38,362/82,052 = 82,052/x
3. Step 3: Cross multiply
   38,362x = 82,052 × 82,052
4. Step 4: Simplify right side
   38,362x = 6,732,530,704
5. Step 5: Solve for x
   x = 6,732,530,704/38,362
6. Step 6: Final answer
   x = 175,499.99