Finding the Third Proportional to 27,584.50 and 59,541.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,584.50 : 59,541.50 = 59,541.50 : x
2. Step 2: Convert to fraction form
   27,584.50/59,541.50 = 59,541.50/x
3. Step 3: Cross multiply
   27,584.50x = 59,541.50 × 59,541.50
4. Step 4: Simplify right side
   27,584.50x = 3,545,190,222.25
5. Step 5: Solve for x
   x = 3,545,190,222.25/27,584.50
6. Step 6: Final answer
   x = 128,521.10