Finding the Third Proportional to 35,756 and 47,020

Step by Step Solution

1. Step 1: Write the proportion equation
   35,756 : 47,020 = 47,020 : x
2. Step 2: Convert to fraction form
   35,756/47,020 = 47,020/x
3. Step 3: Cross multiply
   35,756x = 47,020 × 47,020
4. Step 4: Simplify right side
   35,756x = 2,210,880,400
5. Step 5: Solve for x
   x = 2,210,880,400/35,756
6. Step 6: Final answer
   x = 61,832.43