Finding the Third Proportional to 31,431.50 and 67,783.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,431.50 : 67,783.50 = 67,783.50 : x
2. Step 2: Convert to fraction form
   31,431.50/67,783.50 = 67,783.50/x
3. Step 3: Cross multiply
   31,431.50x = 67,783.50 × 67,783.50
4. Step 4: Simplify right side
   31,431.50x = 4,594,602,872.25
5. Step 5: Solve for x
   x = 4,594,602,872.25/31,431.50
6. Step 6: Final answer
   x = 146,178.29