Finding the Third Proportional to 2,984 and 7,045.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,984 : 7,045.50 = 7,045.50 : x
2. Step 2: Convert to fraction form
   2,984/7,045.50 = 7,045.50/x
3. Step 3: Cross multiply
   2,984x = 7,045.50 × 7,045.50
4. Step 4: Simplify right side
   2,984x = 49,639,070.25
5. Step 5: Solve for x
   x = 49,639,070.25/2,984
6. Step 6: Final answer
   x = 16,635.08