Finding the Third Proportional to 32,055 and 49,762.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,055 : 49,762.50 = 49,762.50 : x
2. Step 2: Convert to fraction form
   32,055/49,762.50 = 49,762.50/x
3. Step 3: Cross multiply
   32,055x = 49,762.50 × 49,762.50
4. Step 4: Simplify right side
   32,055x = 2,476,306,406.25
5. Step 5: Solve for x
   x = 2,476,306,406.25/32,055
6. Step 6: Final answer
   x = 77,251.80