Finding the Third Proportional to 34,749 and 76,218.47

Step by Step Solution

1. Step 1: Write the proportion equation
   34,749 : 76,218.47 = 76,218.47 : x
2. Step 2: Convert to fraction form
   34,749/76,218.47 = 76,218.47/x
3. Step 3: Cross multiply
   34,749x = 76,218.47 × 76,218.47
4. Step 4: Simplify right side
   34,749x = 5,809,254,978.59
5. Step 5: Solve for x
   x = 5,809,254,978.59/34,749
6. Step 6: Final answer
   x = 167,177.62