Finding the Third Proportional to 37,698 and 58,179

Step by Step Solution

1. Step 1: Write the proportion equation
   37,698 : 58,179 = 58,179 : x
2. Step 2: Convert to fraction form
   37,698/58,179 = 58,179/x
3. Step 3: Cross multiply
   37,698x = 58,179 × 58,179
4. Step 4: Simplify right side
   37,698x = 3,384,796,041
5. Step 5: Solve for x
   x = 3,384,796,041/37,698
6. Step 6: Final answer
   x = 89,787.15