Finding the Third Proportional to 37,578 and 58,266.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,578 : 58,266.75 = 58,266.75 : x
2. Step 2: Convert to fraction form
   37,578/58,266.75 = 58,266.75/x
3. Step 3: Cross multiply
   37,578x = 58,266.75 × 58,266.75
4. Step 4: Simplify right side
   37,578x = 3,395,014,155.56
5. Step 5: Solve for x
   x = 3,395,014,155.56/37,578
6. Step 6: Final answer
   x = 90,345.79