Finding the Third Proportional to 37,530 and 58,089

Step by Step Solution

1. Step 1: Write the proportion equation
   37,530 : 58,089 = 58,089 : x
2. Step 2: Convert to fraction form
   37,530/58,089 = 58,089/x
3. Step 3: Cross multiply
   37,530x = 58,089 × 58,089
4. Step 4: Simplify right side
   37,530x = 3,374,331,921
5. Step 5: Solve for x
   x = 3,374,331,921/37,530
6. Step 6: Final answer
   x = 89,910.26