Finding the Third Proportional to 35,780 and 40,964

Step by Step Solution

1. Step 1: Write the proportion equation
   35,780 : 40,964 = 40,964 : x
2. Step 2: Convert to fraction form
   35,780/40,964 = 40,964/x
3. Step 3: Cross multiply
   35,780x = 40,964 × 40,964
4. Step 4: Simplify right side
   35,780x = 1,678,049,296
5. Step 5: Solve for x
   x = 1,678,049,296/35,780
6. Step 6: Final answer
   x = 46,899.09