Finding the Third Proportional to 3,858.50 and 9,102.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,858.50 : 9,102.50 = 9,102.50 : x
2. Step 2: Convert to fraction form
   3,858.50/9,102.50 = 9,102.50/x
3. Step 3: Cross multiply
   3,858.50x = 9,102.50 × 9,102.50
4. Step 4: Simplify right side
   3,858.50x = 82,855,506.25
5. Step 5: Solve for x
   x = 82,855,506.25/3,858.50
6. Step 6: Final answer
   x = 21,473.50