Finding the Third Proportional to 1,823.34 and 3,803.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,823.34 : 3,803.63 = 3,803.63 : x
2. Step 2: Convert to fraction form
   1,823.34/3,803.63 = 3,803.63/x
3. Step 3: Cross multiply
   1,823.34x = 3,803.63 × 3,803.63
4. Step 4: Simplify right side
   1,823.34x = 14,467,563.14
5. Step 5: Solve for x
   x = 14,467,563.14/1,823.34
6. Step 6: Final answer
   x = 7,934.63