Finding the Third Proportional to 7,823.63 and 16,294.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,823.63 : 16,294.50 = 16,294.50 : x
2. Step 2: Convert to fraction form
   7,823.63/16,294.50 = 16,294.50/x
3. Step 3: Cross multiply
   7,823.63x = 16,294.50 × 16,294.50
4. Step 4: Simplify right side
   7,823.63x = 265,510,730.25
5. Step 5: Solve for x
   x = 265,510,730.25/7,823.63
6. Step 6: Final answer
   x = 33,937.05