Finding the Third Proportional to 31,512 and 68,194.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,512 : 68,194.50 = 68,194.50 : x
2. Step 2: Convert to fraction form
   31,512/68,194.50 = 68,194.50/x
3. Step 3: Cross multiply
   31,512x = 68,194.50 × 68,194.50
4. Step 4: Simplify right side
   31,512x = 4,650,489,830.25
5. Step 5: Solve for x
   x = 4,650,489,830.25/31,512
6. Step 6: Final answer
   x = 147,578.38