Finding the Third Proportional to 39,964.50 and 81,110.25

Step by Step Solution

1. Step 1: Write the proportion equation
   39,964.50 : 81,110.25 = 81,110.25 : x
2. Step 2: Convert to fraction form
   39,964.50/81,110.25 = 81,110.25/x
3. Step 3: Cross multiply
   39,964.50x = 81,110.25 × 81,110.25
4. Step 4: Simplify right side
   39,964.50x = 6,578,872,655.06
5. Step 5: Solve for x
   x = 6,578,872,655.06/39,964.50
6. Step 6: Final answer
   x = 164,617.91