Finding the Third Proportional to 4,294 and 9,150.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,294 : 9,150.50 = 9,150.50 : x
2. Step 2: Convert to fraction form
   4,294/9,150.50 = 9,150.50/x
3. Step 3: Cross multiply
   4,294x = 9,150.50 × 9,150.50
4. Step 4: Simplify right side
   4,294x = 83,731,650.25
5. Step 5: Solve for x
   x = 83,731,650.25/4,294
6. Step 6: Final answer
   x = 19,499.69