Finding the Third Proportional to 15,825 and 37,348.50

Step by Step Solution

1. Step 1: Write the proportion equation
   15,825 : 37,348.50 = 37,348.50 : x
2. Step 2: Convert to fraction form
   15,825/37,348.50 = 37,348.50/x
3. Step 3: Cross multiply
   15,825x = 37,348.50 × 37,348.50
4. Step 4: Simplify right side
   15,825x = 1,394,910,452.25
5. Step 5: Solve for x
   x = 1,394,910,452.25/15,825
6. Step 6: Final answer
   x = 88,146.00