Finding the Third Proportional to 7,380 and 16,213.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,380 : 16,213.50 = 16,213.50 : x
2. Step 2: Convert to fraction form
   7,380/16,213.50 = 16,213.50/x
3. Step 3: Cross multiply
   7,380x = 16,213.50 × 16,213.50
4. Step 4: Simplify right side
   7,380x = 262,877,582.25
5. Step 5: Solve for x
   x = 262,877,582.25/7,380
6. Step 6: Final answer
   x = 35,620.27