Finding the Third Proportional to 19,912 and 31,078

Step by Step Solution

1. Step 1: Write the proportion equation
   19,912 : 31,078 = 31,078 : x
2. Step 2: Convert to fraction form
   19,912/31,078 = 31,078/x
3. Step 3: Cross multiply
   19,912x = 31,078 × 31,078
4. Step 4: Simplify right side
   19,912x = 965,842,084
5. Step 5: Solve for x
   x = 965,842,084/19,912
6. Step 6: Final answer
   x = 48,505.53