Finding the Third Proportional to 6,142.50 and 9,258

Step by Step Solution

1. Step 1: Write the proportion equation
   6,142.50 : 9,258 = 9,258 : x
2. Step 2: Convert to fraction form
   6,142.50/9,258 = 9,258/x
3. Step 3: Cross multiply
   6,142.50x = 9,258 × 9,258
4. Step 4: Simplify right side
   6,142.50x = 85,710,564
5. Step 5: Solve for x
   x = 85,710,564/6,142.50
6. Step 6: Final answer
   x = 13,953.69