Finding the Third Proportional to 37,569 and 58,146

Step by Step Solution

1. Step 1: Write the proportion equation
   37,569 : 58,146 = 58,146 : x
2. Step 2: Convert to fraction form
   37,569/58,146 = 58,146/x
3. Step 3: Cross multiply
   37,569x = 58,146 × 58,146
4. Step 4: Simplify right side
   37,569x = 3,380,957,316
5. Step 5: Solve for x
   x = 3,380,957,316/37,569
6. Step 6: Final answer
   x = 89,993.27