Finding the Third Proportional to 27,606 and 59,584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,606 : 59,584.50 = 59,584.50 : x
2. Step 2: Convert to fraction form
   27,606/59,584.50 = 59,584.50/x
3. Step 3: Cross multiply
   27,606x = 59,584.50 × 59,584.50
4. Step 4: Simplify right side
   27,606x = 3,550,312,640.25
5. Step 5: Solve for x
   x = 3,550,312,640.25/27,606
6. Step 6: Final answer
   x = 128,606.56