Finding the Third Proportional to 7,580 and 10,134

Step by Step Solution

1. Step 1: Write the proportion equation
   7,580 : 10,134 = 10,134 : x
2. Step 2: Convert to fraction form
   7,580/10,134 = 10,134/x
3. Step 3: Cross multiply
   7,580x = 10,134 × 10,134
4. Step 4: Simplify right side
   7,580x = 102,697,956
5. Step 5: Solve for x
   x = 102,697,956/7,580
6. Step 6: Final answer
   x = 13,548.54