Finding the Third Proportional to 9,490 and 14,233.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,490 : 14,233.50 = 14,233.50 : x
2. Step 2: Convert to fraction form
   9,490/14,233.50 = 14,233.50/x
3. Step 3: Cross multiply
   9,490x = 14,233.50 × 14,233.50
4. Step 4: Simplify right side
   9,490x = 202,592,522.25
5. Step 5: Solve for x
   x = 202,592,522.25/9,490
6. Step 6: Final answer
   x = 21,348.00