Finding the Third Proportional to 37,682 and 58,320.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,682 : 58,320.75 = 58,320.75 : x
2. Step 2: Convert to fraction form
   37,682/58,320.75 = 58,320.75/x
3. Step 3: Cross multiply
   37,682x = 58,320.75 × 58,320.75
4. Step 4: Simplify right side
   37,682x = 3,401,309,880.56
5. Step 5: Solve for x
   x = 3,401,309,880.56/37,682
6. Step 6: Final answer
   x = 90,263.52