Finding the Third Proportional to 9,096 and 19,627.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,096 : 19,627.50 = 19,627.50 : x
2. Step 2: Convert to fraction form
   9,096/19,627.50 = 19,627.50/x
3. Step 3: Cross multiply
   9,096x = 19,627.50 × 19,627.50
4. Step 4: Simplify right side
   9,096x = 385,238,756.25
5. Step 5: Solve for x
   x = 385,238,756.25/9,096
6. Step 6: Final answer
   x = 42,352.55