Finding the Third Proportional to 37,082.25 and 79,994.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,082.25 : 79,994.25 = 79,994.25 : x
2. Step 2: Convert to fraction form
   37,082.25/79,994.25 = 79,994.25/x
3. Step 3: Cross multiply
   37,082.25x = 79,994.25 × 79,994.25
4. Step 4: Simplify right side
   37,082.25x = 6,399,080,033.06
5. Step 5: Solve for x
   x = 6,399,080,033.06/37,082.25
6. Step 6: Final answer
   x = 172,564.50