Finding the Third Proportional to 27,565 and 59,798

Step by Step Solution

1. Step 1: Write the proportion equation
   27,565 : 59,798 = 59,798 : x
2. Step 2: Convert to fraction form
   27,565/59,798 = 59,798/x
3. Step 3: Cross multiply
   27,565x = 59,798 × 59,798
4. Step 4: Simplify right side
   27,565x = 3,575,800,804
5. Step 5: Solve for x
   x = 3,575,800,804/27,565
6. Step 6: Final answer
   x = 129,722.50