Finding the Third Proportional to 37,567 and 58,139

Step by Step Solution

1. Step 1: Write the proportion equation
   37,567 : 58,139 = 58,139 : x
2. Step 2: Convert to fraction form
   37,567/58,139 = 58,139/x
3. Step 3: Cross multiply
   37,567x = 58,139 × 58,139
4. Step 4: Simplify right side
   37,567x = 3,380,143,321
5. Step 5: Solve for x
   x = 3,380,143,321/37,567
6. Step 6: Final answer
   x = 89,976.40