Finding the Third Proportional to 27,018 and 58,198.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,018 : 58,198.50 = 58,198.50 : x
2. Step 2: Convert to fraction form
   27,018/58,198.50 = 58,198.50/x
3. Step 3: Cross multiply
   27,018x = 58,198.50 × 58,198.50
4. Step 4: Simplify right side
   27,018x = 3,387,065,402.25
5. Step 5: Solve for x
   x = 3,387,065,402.25/27,018
6. Step 6: Final answer
   x = 125,363.29