Finding the Third Proportional to 7,974 and 17,459.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,974 : 17,459.50 = 17,459.50 : x
2. Step 2: Convert to fraction form
   7,974/17,459.50 = 17,459.50/x
3. Step 3: Cross multiply
   7,974x = 17,459.50 × 17,459.50
4. Step 4: Simplify right side
   7,974x = 304,834,140.25
5. Step 5: Solve for x
   x = 304,834,140.25/7,974
6. Step 6: Final answer
   x = 38,228.51