Finding the Third Proportional to 22,398 and 37,186

Step by Step Solution

1. Step 1: Write the proportion equation
   22,398 : 37,186 = 37,186 : x
2. Step 2: Convert to fraction form
   22,398/37,186 = 37,186/x
3. Step 3: Cross multiply
   22,398x = 37,186 × 37,186
4. Step 4: Simplify right side
   22,398x = 1,382,798,596
5. Step 5: Solve for x
   x = 1,382,798,596/22,398
6. Step 6: Final answer
   x = 61,737.59