Finding the Third Proportional to 27,580.50 and 59,534.25

Step by Step Solution

1. Step 1: Write the proportion equation
   27,580.50 : 59,534.25 = 59,534.25 : x
2. Step 2: Convert to fraction form
   27,580.50/59,534.25 = 59,534.25/x
3. Step 3: Cross multiply
   27,580.50x = 59,534.25 × 59,534.25
4. Step 4: Simplify right side
   27,580.50x = 3,544,326,923.06
5. Step 5: Solve for x
   x = 3,544,326,923.06/27,580.50
6. Step 6: Final answer
   x = 128,508.44