Finding the Third Proportional to 53,002.69 and 81,964.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,002.69 : 81,964.50 = 81,964.50 : x
2. Step 2: Convert to fraction form
   53,002.69/81,964.50 = 81,964.50/x
3. Step 3: Cross multiply
   53,002.69x = 81,964.50 × 81,964.50
4. Step 4: Simplify right side
   53,002.69x = 6,718,179,260.25
5. Step 5: Solve for x
   x = 6,718,179,260.25/53,002.69
6. Step 6: Final answer
   x = 126,751.67