Finding the Third Proportional to 39,784 and 55,769.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,784 : 55,769.50 = 55,769.50 : x
2. Step 2: Convert to fraction form
   39,784/55,769.50 = 55,769.50/x
3. Step 3: Cross multiply
   39,784x = 55,769.50 × 55,769.50
4. Step 4: Simplify right side
   39,784x = 3,110,237,130.25
5. Step 5: Solve for x
   x = 3,110,237,130.25/39,784
6. Step 6: Final answer
   x = 78,178.09