Finding the Third Proportional to 11,830 and 13,060

Step by Step Solution

1. Step 1: Write the proportion equation
   11,830 : 13,060 = 13,060 : x
2. Step 2: Convert to fraction form
   11,830/13,060 = 13,060/x
3. Step 3: Cross multiply
   11,830x = 13,060 × 13,060
4. Step 4: Simplify right side
   11,830x = 170,563,600
5. Step 5: Solve for x
   x = 170,563,600/11,830
6. Step 6: Final answer
   x = 14,417.89