Finding the Third Proportional to 7,973 and 17,457.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,973 : 17,457.50 = 17,457.50 : x
2. Step 2: Convert to fraction form
   7,973/17,457.50 = 17,457.50/x
3. Step 3: Cross multiply
   7,973x = 17,457.50 × 17,457.50
4. Step 4: Simplify right side
   7,973x = 304,764,306.25
5. Step 5: Solve for x
   x = 304,764,306.25/7,973
6. Step 6: Final answer
   x = 38,224.55