Finding the Third Proportional to 36,229 and 74,786

Step by Step Solution

1. Step 1: Write the proportion equation
   36,229 : 74,786 = 74,786 : x
2. Step 2: Convert to fraction form
   36,229/74,786 = 74,786/x
3. Step 3: Cross multiply
   36,229x = 74,786 × 74,786
4. Step 4: Simplify right side
   36,229x = 5,592,945,796
5. Step 5: Solve for x
   x = 5,592,945,796/36,229
6. Step 6: Final answer
   x = 154,377.59