Finding the Third Proportional to 7,806.50 and 16,428.88

Step by Step Solution

1. Step 1: Write the proportion equation
   7,806.50 : 16,428.88 = 16,428.88 : x
2. Step 2: Convert to fraction form
   7,806.50/16,428.88 = 16,428.88/x
3. Step 3: Cross multiply
   7,806.50x = 16,428.88 × 16,428.88
4. Step 4: Simplify right side
   7,806.50x = 269,907,933.77
5. Step 5: Solve for x
   x = 269,907,933.77/7,806.50
6. Step 6: Final answer
   x = 34,574.77