Finding the Third Proportional to 17,824.50 and 38,362.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,824.50 : 38,362.50 = 38,362.50 : x
2. Step 2: Convert to fraction form
   17,824.50/38,362.50 = 38,362.50/x
3. Step 3: Cross multiply
   17,824.50x = 38,362.50 × 38,362.50
4. Step 4: Simplify right side
   17,824.50x = 1,471,681,406.25
5. Step 5: Solve for x
   x = 1,471,681,406.25/17,824.50
6. Step 6: Final answer
   x = 82,565.09