Finding the Third Proportional to 37,566 and 58,505

Step by Step Solution

1. Step 1: Write the proportion equation
   37,566 : 58,505 = 58,505 : x
2. Step 2: Convert to fraction form
   37,566/58,505 = 58,505/x
3. Step 3: Cross multiply
   37,566x = 58,505 × 58,505
4. Step 4: Simplify right side
   37,566x = 3,422,835,025
5. Step 5: Solve for x
   x = 3,422,835,025/37,566
6. Step 6: Final answer
   x = 91,115.24