Finding the Third Proportional to 37,162 and 58,209

Step by Step Solution

1. Step 1: Write the proportion equation
   37,162 : 58,209 = 58,209 : x
2. Step 2: Convert to fraction form
   37,162/58,209 = 58,209/x
3. Step 3: Cross multiply
   37,162x = 58,209 × 58,209
4. Step 4: Simplify right side
   37,162x = 3,388,287,681
5. Step 5: Solve for x
   x = 3,388,287,681/37,162
6. Step 6: Final answer
   x = 91,176.14