Finding the Third Proportional to 45,535 and 71,279

Step by Step Solution

1. Step 1: Write the proportion equation
   45,535 : 71,279 = 71,279 : x
2. Step 2: Convert to fraction form
   45,535/71,279 = 71,279/x
3. Step 3: Cross multiply
   45,535x = 71,279 × 71,279
4. Step 4: Simplify right side
   45,535x = 5,080,695,841
5. Step 5: Solve for x
   x = 5,080,695,841/45,535
6. Step 6: Final answer
   x = 111,577.82