Finding the Third Proportional to 6,472.50 and 17,322

Step by Step Solution

1. Step 1: Write the proportion equation
   6,472.50 : 17,322 = 17,322 : x
2. Step 2: Convert to fraction form
   6,472.50/17,322 = 17,322/x
3. Step 3: Cross multiply
   6,472.50x = 17,322 × 17,322
4. Step 4: Simplify right side
   6,472.50x = 300,051,684
5. Step 5: Solve for x
   x = 300,051,684/6,472.50
6. Step 6: Final answer
   x = 46,357.93