Finding the Third Proportional to 17,806.50 and 38,468.25

Step by Step Solution

1. Step 1: Write the proportion equation
   17,806.50 : 38,468.25 = 38,468.25 : x
2. Step 2: Convert to fraction form
   17,806.50/38,468.25 = 38,468.25/x
3. Step 3: Cross multiply
   17,806.50x = 38,468.25 × 38,468.25
4. Step 4: Simplify right side
   17,806.50x = 1,479,806,258.06
5. Step 5: Solve for x
   x = 1,479,806,258.06/17,806.50
6. Step 6: Final answer
   x = 83,104.84