Finding the Third Proportional to 31,784 and 37,640

Step by Step Solution

1. Step 1: Write the proportion equation
   31,784 : 37,640 = 37,640 : x
2. Step 2: Convert to fraction form
   31,784/37,640 = 37,640/x
3. Step 3: Cross multiply
   31,784x = 37,640 × 37,640
4. Step 4: Simplify right side
   31,784x = 1,416,769,600
5. Step 5: Solve for x
   x = 1,416,769,600/31,784
6. Step 6: Final answer
   x = 44,574.93