Finding the Third Proportional to 27,582 and 59,052

Step by Step Solution

1. Step 1: Write the proportion equation
   27,582 : 59,052 = 59,052 : x
2. Step 2: Convert to fraction form
   27,582/59,052 = 59,052/x
3. Step 3: Cross multiply
   27,582x = 59,052 × 59,052
4. Step 4: Simplify right side
   27,582x = 3,487,138,704
5. Step 5: Solve for x
   x = 3,487,138,704/27,582
6. Step 6: Final answer
   x = 126,428.06