Finding the Third Proportional to 32,769 and 49,036.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,769 : 49,036.50 = 49,036.50 : x
2. Step 2: Convert to fraction form
   32,769/49,036.50 = 49,036.50/x
3. Step 3: Cross multiply
   32,769x = 49,036.50 × 49,036.50
4. Step 4: Simplify right side
   32,769x = 2,404,578,332.25
5. Step 5: Solve for x
   x = 2,404,578,332.25/32,769
6. Step 6: Final answer
   x = 73,379.67