Finding the Third Proportional to 31,942 and 67,194.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,942 : 67,194.50 = 67,194.50 : x
2. Step 2: Convert to fraction form
   31,942/67,194.50 = 67,194.50/x
3. Step 3: Cross multiply
   31,942x = 67,194.50 × 67,194.50
4. Step 4: Simplify right side
   31,942x = 4,515,100,830.25
5. Step 5: Solve for x
   x = 4,515,100,830.25/31,942
6. Step 6: Final answer
   x = 141,353.10