Finding the Third Proportional to 13,027.50 and 14,242.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,027.50 : 14,242.50 = 14,242.50 : x
2. Step 2: Convert to fraction form
   13,027.50/14,242.50 = 14,242.50/x
3. Step 3: Cross multiply
   13,027.50x = 14,242.50 × 14,242.50
4. Step 4: Simplify right side
   13,027.50x = 202,848,806.25
5. Step 5: Solve for x
   x = 202,848,806.25/13,027.50
6. Step 6: Final answer
   x = 15,570.82