Finding the Third Proportional to 27,404 and 59,174

Step by Step Solution

1. Step 1: Write the proportion equation
   27,404 : 59,174 = 59,174 : x
2. Step 2: Convert to fraction form
   27,404/59,174 = 59,174/x
3. Step 3: Cross multiply
   27,404x = 59,174 × 59,174
4. Step 4: Simplify right side
   27,404x = 3,501,562,276
5. Step 5: Solve for x
   x = 3,501,562,276/27,404
6. Step 6: Final answer
   x = 127,775.59