Finding the Third Proportional to 27,607.50 and 59,584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,607.50 : 59,584.50 = 59,584.50 : x
2. Step 2: Convert to fraction form
   27,607.50/59,584.50 = 59,584.50/x
3. Step 3: Cross multiply
   27,607.50x = 59,584.50 × 59,584.50
4. Step 4: Simplify right side
   27,607.50x = 3,550,312,640.25
5. Step 5: Solve for x
   x = 3,550,312,640.25/27,607.50
6. Step 6: Final answer
   x = 128,599.57