Finding the Third Proportional to 37,871.25 and 79,659.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,871.25 : 79,659.75 = 79,659.75 : x
2. Step 2: Convert to fraction form
   37,871.25/79,659.75 = 79,659.75/x
3. Step 3: Cross multiply
   37,871.25x = 79,659.75 × 79,659.75
4. Step 4: Simplify right side
   37,871.25x = 6,345,675,770.06
5. Step 5: Solve for x
   x = 6,345,675,770.06/37,871.25
6. Step 6: Final answer
   x = 167,559.18