Finding the Third Proportional to 40,216.50 and 81,513

Step by Step Solution

1. Step 1: Write the proportion equation
   40,216.50 : 81,513 = 81,513 : x
2. Step 2: Convert to fraction form
   40,216.50/81,513 = 81,513/x
3. Step 3: Cross multiply
   40,216.50x = 81,513 × 81,513
4. Step 4: Simplify right side
   40,216.50x = 6,644,369,169
5. Step 5: Solve for x
   x = 6,644,369,169/40,216.50
6. Step 6: Final answer
   x = 165,215.00