Finding the Third Proportional to 27,582 and 59,538.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,582 : 59,538.50 = 59,538.50 : x
2. Step 2: Convert to fraction form
   27,582/59,538.50 = 59,538.50/x
3. Step 3: Cross multiply
   27,582x = 59,538.50 × 59,538.50
4. Step 4: Simplify right side
   27,582x = 3,544,832,982.25
5. Step 5: Solve for x
   x = 3,544,832,982.25/27,582
6. Step 6: Final answer
   x = 128,519.79