Finding the Third Proportional to 7,570 and 13,460

Step by Step Solution

1. Step 1: Write the proportion equation
   7,570 : 13,460 = 13,460 : x
2. Step 2: Convert to fraction form
   7,570/13,460 = 13,460/x
3. Step 3: Cross multiply
   7,570x = 13,460 × 13,460
4. Step 4: Simplify right side
   7,570x = 181,171,600
5. Step 5: Solve for x
   x = 181,171,600/7,570
6. Step 6: Final answer
   x = 23,932.84