Finding the Third Proportional to 7,258 and 15,002

Step by Step Solution

1. Step 1: Write the proportion equation
   7,258 : 15,002 = 15,002 : x
2. Step 2: Convert to fraction form
   7,258/15,002 = 15,002/x
3. Step 3: Cross multiply
   7,258x = 15,002 × 15,002
4. Step 4: Simplify right side
   7,258x = 225,060,004
5. Step 5: Solve for x
   x = 225,060,004/7,258
6. Step 6: Final answer
   x = 31,008.54