Finding the Third Proportional to 35,566 and 52,052

Step by Step Solution

1. Step 1: Write the proportion equation
   35,566 : 52,052 = 52,052 : x
2. Step 2: Convert to fraction form
   35,566/52,052 = 52,052/x
3. Step 3: Cross multiply
   35,566x = 52,052 × 52,052
4. Step 4: Simplify right side
   35,566x = 2,709,410,704
5. Step 5: Solve for x
   x = 2,709,410,704/35,566
6. Step 6: Final answer
   x = 76,179.80