Finding the Third Proportional to 27,410 and 59,164

Step by Step Solution

1. Step 1: Write the proportion equation
   27,410 : 59,164 = 59,164 : x
2. Step 2: Convert to fraction form
   27,410/59,164 = 59,164/x
3. Step 3: Cross multiply
   27,410x = 59,164 × 59,164
4. Step 4: Simplify right side
   27,410x = 3,500,378,896
5. Step 5: Solve for x
   x = 3,500,378,896/27,410
6. Step 6: Final answer
   x = 127,704.45