Finding the Third Proportional to 40,384.50 and 82,784.25

Step by Step Solution

1. Step 1: Write the proportion equation
   40,384.50 : 82,784.25 = 82,784.25 : x
2. Step 2: Convert to fraction form
   40,384.50/82,784.25 = 82,784.25/x
3. Step 3: Cross multiply
   40,384.50x = 82,784.25 × 82,784.25
4. Step 4: Simplify right side
   40,384.50x = 6,853,232,048.06
5. Step 5: Solve for x
   x = 6,853,232,048.06/40,384.50
6. Step 6: Final answer
   x = 169,699.56