Finding the Third Proportional to 6,158 and 9,525.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,158 : 9,525.50 = 9,525.50 : x
2. Step 2: Convert to fraction form
   6,158/9,525.50 = 9,525.50/x
3. Step 3: Cross multiply
   6,158x = 9,525.50 × 9,525.50
4. Step 4: Simplify right side
   6,158x = 90,735,150.25
5. Step 5: Solve for x
   x = 90,735,150.25/6,158
6. Step 6: Final answer
   x = 14,734.52