Finding the Third Proportional to 7,546 and 10,139

Step by Step Solution

1. Step 1: Write the proportion equation
   7,546 : 10,139 = 10,139 : x
2. Step 2: Convert to fraction form
   7,546/10,139 = 10,139/x
3. Step 3: Cross multiply
   7,546x = 10,139 × 10,139
4. Step 4: Simplify right side
   7,546x = 102,799,321
5. Step 5: Solve for x
   x = 102,799,321/7,546
6. Step 6: Final answer
   x = 13,623.02