Finding the Third Proportional to 30,072 and 65,269.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,072 : 65,269.50 = 65,269.50 : x
2. Step 2: Convert to fraction form
   30,072/65,269.50 = 65,269.50/x
3. Step 3: Cross multiply
   30,072x = 65,269.50 × 65,269.50
4. Step 4: Simplify right side
   30,072x = 4,260,107,630.25
5. Step 5: Solve for x
   x = 4,260,107,630.25/30,072
6. Step 6: Final answer
   x = 141,663.60