Finding the Third Proportional to 33,700 and 53,830

Step by Step Solution

1. Step 1: Write the proportion equation
   33,700 : 53,830 = 53,830 : x
2. Step 2: Convert to fraction form
   33,700/53,830 = 53,830/x
3. Step 3: Cross multiply
   33,700x = 53,830 × 53,830
4. Step 4: Simplify right side
   33,700x = 2,897,668,900
5. Step 5: Solve for x
   x = 2,897,668,900/33,700
6. Step 6: Final answer
   x = 85,984.24