Finding the Third Proportional to 27,434 and 59,032

Step by Step Solution

1. Step 1: Write the proportion equation
   27,434 : 59,032 = 59,032 : x
2. Step 2: Convert to fraction form
   27,434/59,032 = 59,032/x
3. Step 3: Cross multiply
   27,434x = 59,032 × 59,032
4. Step 4: Simplify right side
   27,434x = 3,484,777,024
5. Step 5: Solve for x
   x = 3,484,777,024/27,434
6. Step 6: Final answer
   x = 127,024.02