Finding the Third Proportional to 33,808 and 53,033

Step by Step Solution

1. Step 1: Write the proportion equation
   33,808 : 53,033 = 53,033 : x
2. Step 2: Convert to fraction form
   33,808/53,033 = 53,033/x
3. Step 3: Cross multiply
   33,808x = 53,033 × 53,033
4. Step 4: Simplify right side
   33,808x = 2,812,499,089
5. Step 5: Solve for x
   x = 2,812,499,089/33,808
6. Step 6: Final answer
   x = 83,190.34