Finding the Third Proportional to 32,805 and 72,049.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,805 : 72,049.50 = 72,049.50 : x
2. Step 2: Convert to fraction form
   32,805/72,049.50 = 72,049.50/x
3. Step 3: Cross multiply
   32,805x = 72,049.50 × 72,049.50
4. Step 4: Simplify right side
   32,805x = 5,191,130,450.25
5. Step 5: Solve for x
   x = 5,191,130,450.25/32,805
6. Step 6: Final answer
   x = 158,242.05