Finding the Third Proportional to 36,812 and 49,046

Step by Step Solution

1. Step 1: Write the proportion equation
   36,812 : 49,046 = 49,046 : x
2. Step 2: Convert to fraction form
   36,812/49,046 = 49,046/x
3. Step 3: Cross multiply
   36,812x = 49,046 × 49,046
4. Step 4: Simplify right side
   36,812x = 2,405,510,116
5. Step 5: Solve for x
   x = 2,405,510,116/36,812
6. Step 6: Final answer
   x = 65,345.81