Finding the Third Proportional to 31,274.50 and 63,822.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,274.50 : 63,822.50 = 63,822.50 : x
2. Step 2: Convert to fraction form
   31,274.50/63,822.50 = 63,822.50/x
3. Step 3: Cross multiply
   31,274.50x = 63,822.50 × 63,822.50
4. Step 4: Simplify right side
   31,274.50x = 4,073,311,506.25
5. Step 5: Solve for x
   x = 4,073,311,506.25/31,274.50
6. Step 6: Final answer
   x = 130,243.86