Finding the Third Proportional to 17,824.50 and 39,188.25

Step by Step Solution

1. Step 1: Write the proportion equation
   17,824.50 : 39,188.25 = 39,188.25 : x
2. Step 2: Convert to fraction form
   17,824.50/39,188.25 = 39,188.25/x
3. Step 3: Cross multiply
   17,824.50x = 39,188.25 × 39,188.25
4. Step 4: Simplify right side
   17,824.50x = 1,535,718,938.06
5. Step 5: Solve for x
   x = 1,535,718,938.06/17,824.50
6. Step 6: Final answer
   x = 86,157.76