Finding the Third Proportional to 13,588 and 28,653.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,588 : 28,653.50 = 28,653.50 : x
2. Step 2: Convert to fraction form
   13,588/28,653.50 = 28,653.50/x
3. Step 3: Cross multiply
   13,588x = 28,653.50 × 28,653.50
4. Step 4: Simplify right side
   13,588x = 821,023,062.25
5. Step 5: Solve for x
   x = 821,023,062.25/13,588
6. Step 6: Final answer
   x = 60,422.66