Finding the Third Proportional to 36,924.50 and 89,022

Step by Step Solution

1. Step 1: Write the proportion equation
   36,924.50 : 89,022 = 89,022 : x
2. Step 2: Convert to fraction form
   36,924.50/89,022 = 89,022/x
3. Step 3: Cross multiply
   36,924.50x = 89,022 × 89,022
4. Step 4: Simplify right side
   36,924.50x = 7,924,916,484
5. Step 5: Solve for x
   x = 7,924,916,484/36,924.50
6. Step 6: Final answer
   x = 214,624.88