Finding the Third Proportional to 51,309 and 81,964.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,309 : 81,964.50 = 81,964.50 : x
2. Step 2: Convert to fraction form
   51,309/81,964.50 = 81,964.50/x
3. Step 3: Cross multiply
   51,309x = 81,964.50 × 81,964.50
4. Step 4: Simplify right side
   51,309x = 6,718,179,260.25
5. Step 5: Solve for x
   x = 6,718,179,260.25/51,309
6. Step 6: Final answer
   x = 130,935.69