Finding the Third Proportional to 15,200 and 23,003

Step by Step Solution

1. Step 1: Write the proportion equation
   15,200 : 23,003 = 23,003 : x
2. Step 2: Convert to fraction form
   15,200/23,003 = 23,003/x
3. Step 3: Cross multiply
   15,200x = 23,003 × 23,003
4. Step 4: Simplify right side
   15,200x = 529,138,009
5. Step 5: Solve for x
   x = 529,138,009/15,200
6. Step 6: Final answer
   x = 34,811.71