Finding the Third Proportional to 16,140 and 34,830

Step by Step Solution

1. Step 1: Write the proportion equation
   16,140 : 34,830 = 34,830 : x
2. Step 2: Convert to fraction form
   16,140/34,830 = 34,830/x
3. Step 3: Cross multiply
   16,140x = 34,830 × 34,830
4. Step 4: Simplify right side
   16,140x = 1,213,128,900
5. Step 5: Solve for x
   x = 1,213,128,900/16,140
6. Step 6: Final answer
   x = 75,162.88