Finding the Third Proportional to 37,568 and 58,141

Step by Step Solution

1. Step 1: Write the proportion equation
   37,568 : 58,141 = 58,141 : x
2. Step 2: Convert to fraction form
   37,568/58,141 = 58,141/x
3. Step 3: Cross multiply
   37,568x = 58,141 × 58,141
4. Step 4: Simplify right side
   37,568x = 3,380,375,881
5. Step 5: Solve for x
   x = 3,380,375,881/37,568
6. Step 6: Final answer
   x = 89,980.19