Finding the Third Proportional to 31,369.50 and 67,663.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,369.50 : 67,663.50 = 67,663.50 : x
2. Step 2: Convert to fraction form
   31,369.50/67,663.50 = 67,663.50/x
3. Step 3: Cross multiply
   31,369.50x = 67,663.50 × 67,663.50
4. Step 4: Simplify right side
   31,369.50x = 4,578,349,232.25
5. Step 5: Solve for x
   x = 4,578,349,232.25/31,369.50
6. Step 6: Final answer
   x = 145,949.07