Finding the Third Proportional to 33,996 and 72,109.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,996 : 72,109.50 = 72,109.50 : x
2. Step 2: Convert to fraction form
   33,996/72,109.50 = 72,109.50/x
3. Step 3: Cross multiply
   33,996x = 72,109.50 × 72,109.50
4. Step 4: Simplify right side
   33,996x = 5,199,779,990.25
5. Step 5: Solve for x
   x = 5,199,779,990.25/33,996
6. Step 6: Final answer
   x = 152,952.70