Finding the Third Proportional to 36,952 and 89,089

Step by Step Solution

1. Step 1: Write the proportion equation
   36,952 : 89,089 = 89,089 : x
2. Step 2: Convert to fraction form
   36,952/89,089 = 89,089/x
3. Step 3: Cross multiply
   36,952x = 89,089 × 89,089
4. Step 4: Simplify right side
   36,952x = 7,936,849,921
5. Step 5: Solve for x
   x = 7,936,849,921/36,952
6. Step 6: Final answer
   x = 214,788.10