Finding the Third Proportional to 37,626 and 89,115

Step by Step Solution

1. Step 1: Write the proportion equation
   37,626 : 89,115 = 89,115 : x
2. Step 2: Convert to fraction form
   37,626/89,115 = 89,115/x
3. Step 3: Cross multiply
   37,626x = 89,115 × 89,115
4. Step 4: Simplify right side
   37,626x = 7,941,483,225
5. Step 5: Solve for x
   x = 7,941,483,225/37,626
6. Step 6: Final answer
   x = 211,063.71