Finding the Third Proportional to 39,825 and 87,300

Step by Step Solution

1. Step 1: Write the proportion equation
   39,825 : 87,300 = 87,300 : x
2. Step 2: Convert to fraction form
   39,825/87,300 = 87,300/x
3. Step 3: Cross multiply
   39,825x = 87,300 × 87,300
4. Step 4: Simplify right side
   39,825x = 7,621,290,000
5. Step 5: Solve for x
   x = 7,621,290,000/39,825
6. Step 6: Final answer
   x = 191,369.49