Finding the Third Proportional to 32,953.50 and 50,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,953.50 : 50,665.50 = 50,665.50 : x
2. Step 2: Convert to fraction form
   32,953.50/50,665.50 = 50,665.50/x
3. Step 3: Cross multiply
   32,953.50x = 50,665.50 × 50,665.50
4. Step 4: Simplify right side
   32,953.50x = 2,566,992,890.25
5. Step 5: Solve for x
   x = 2,566,992,890.25/32,953.50
6. Step 6: Final answer
   x = 77,897.43