Finding the Third Proportional to 32,894 and 72,348.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,894 : 72,348.50 = 72,348.50 : x
2. Step 2: Convert to fraction form
   32,894/72,348.50 = 72,348.50/x
3. Step 3: Cross multiply
   32,894x = 72,348.50 × 72,348.50
4. Step 4: Simplify right side
   32,894x = 5,234,305,452.25
5. Step 5: Solve for x
   x = 5,234,305,452.25/32,894
6. Step 6: Final answer
   x = 159,126.45