Finding the Third Proportional to 31,425 and 67,768.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,425 : 67,768.50 = 67,768.50 : x
2. Step 2: Convert to fraction form
   31,425/67,768.50 = 67,768.50/x
3. Step 3: Cross multiply
   31,425x = 67,768.50 × 67,768.50
4. Step 4: Simplify right side
   31,425x = 4,592,569,592.25
5. Step 5: Solve for x
   x = 4,592,569,592.25/31,425
6. Step 6: Final answer
   x = 146,143.82