Finding the Third Proportional to 33,550 and 53,080

Step by Step Solution

1. Step 1: Write the proportion equation
   33,550 : 53,080 = 53,080 : x
2. Step 2: Convert to fraction form
   33,550/53,080 = 53,080/x
3. Step 3: Cross multiply
   33,550x = 53,080 × 53,080
4. Step 4: Simplify right side
   33,550x = 2,817,486,400
5. Step 5: Solve for x
   x = 2,817,486,400/33,550
6. Step 6: Final answer
   x = 83,978.73