Finding the Third Proportional to 19,627.50 and 26,119.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,627.50 : 26,119.50 = 26,119.50 : x
2. Step 2: Convert to fraction form
   19,627.50/26,119.50 = 26,119.50/x
3. Step 3: Cross multiply
   19,627.50x = 26,119.50 × 26,119.50
4. Step 4: Simplify right side
   19,627.50x = 682,228,280.25
5. Step 5: Solve for x
   x = 682,228,280.25/19,627.50
6. Step 6: Final answer
   x = 34,758.80