Finding the Third Proportional to 41,947.88 and 81,769.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,947.88 : 81,769.50 = 81,769.50 : x
2. Step 2: Convert to fraction form
   41,947.88/81,769.50 = 81,769.50/x
3. Step 3: Cross multiply
   41,947.88x = 81,769.50 × 81,769.50
4. Step 4: Simplify right side
   41,947.88x = 6,686,251,130.25
5. Step 5: Solve for x
   x = 6,686,251,130.25/41,947.88
6. Step 6: Final answer
   x = 159,394.28