Finding the Third Proportional to 37,561 and 58,245

Step by Step Solution

1. Step 1: Write the proportion equation
   37,561 : 58,245 = 58,245 : x
2. Step 2: Convert to fraction form
   37,561/58,245 = 58,245/x
3. Step 3: Cross multiply
   37,561x = 58,245 × 58,245
4. Step 4: Simplify right side
   37,561x = 3,392,480,025
5. Step 5: Solve for x
   x = 3,392,480,025/37,561
6. Step 6: Final answer
   x = 90,319.21