Finding the Third Proportional to 32,738 and 49,052.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,738 : 49,052.50 = 49,052.50 : x
2. Step 2: Convert to fraction form
   32,738/49,052.50 = 49,052.50/x
3. Step 3: Cross multiply
   32,738x = 49,052.50 × 49,052.50
4. Step 4: Simplify right side
   32,738x = 2,406,147,756.25
5. Step 5: Solve for x
   x = 2,406,147,756.25/32,738
6. Step 6: Final answer
   x = 73,497.09