Finding the Third Proportional to 37,574 and 58,143

Step by Step Solution

1. Step 1: Write the proportion equation
   37,574 : 58,143 = 58,143 : x
2. Step 2: Convert to fraction form
   37,574/58,143 = 58,143/x
3. Step 3: Cross multiply
   37,574x = 58,143 × 58,143
4. Step 4: Simplify right side
   37,574x = 3,380,608,449
5. Step 5: Solve for x
   x = 3,380,608,449/37,574
6. Step 6: Final answer
   x = 89,972.01