Finding the Third Proportional to 37,848 and 58,567

Step by Step Solution

1. Step 1: Write the proportion equation
   37,848 : 58,567 = 58,567 : x
2. Step 2: Convert to fraction form
   37,848/58,567 = 58,567/x
3. Step 3: Cross multiply
   37,848x = 58,567 × 58,567
4. Step 4: Simplify right side
   37,848x = 3,430,093,489
5. Step 5: Solve for x
   x = 3,430,093,489/37,848
6. Step 6: Final answer
   x = 90,628.13