Finding the Third Proportional to 27,184 and 59,714

Step by Step Solution

1. Step 1: Write the proportion equation
   27,184 : 59,714 = 59,714 : x
2. Step 2: Convert to fraction form
   27,184/59,714 = 59,714/x
3. Step 3: Cross multiply
   27,184x = 59,714 × 59,714
4. Step 4: Simplify right side
   27,184x = 3,565,761,796
5. Step 5: Solve for x
   x = 3,565,761,796/27,184
6. Step 6: Final answer
   x = 131,171.34