Finding the Third Proportional to 19,934 and 31,274.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,934 : 31,274.50 = 31,274.50 : x
2. Step 2: Convert to fraction form
   19,934/31,274.50 = 31,274.50/x
3. Step 3: Cross multiply
   19,934x = 31,274.50 × 31,274.50
4. Step 4: Simplify right side
   19,934x = 978,094,350.25
5. Step 5: Solve for x
   x = 978,094,350.25/19,934
6. Step 6: Final answer
   x = 49,066.64