Finding the Third Proportional to 34,739 and 53,825

Step by Step Solution

1. Step 1: Write the proportion equation
   34,739 : 53,825 = 53,825 : x
2. Step 2: Convert to fraction form
   34,739/53,825 = 53,825/x
3. Step 3: Cross multiply
   34,739x = 53,825 × 53,825
4. Step 4: Simplify right side
   34,739x = 2,897,130,625
5. Step 5: Solve for x
   x = 2,897,130,625/34,739
6. Step 6: Final answer
   x = 83,397.06