Finding the Third Proportional to 34,757.25 and 76,281.75

Step by Step Solution

1. Step 1: Write the proportion equation
   34,757.25 : 76,281.75 = 76,281.75 : x
2. Step 2: Convert to fraction form
   34,757.25/76,281.75 = 76,281.75/x
3. Step 3: Cross multiply
   34,757.25x = 76,281.75 × 76,281.75
4. Step 4: Simplify right side
   34,757.25x = 5,818,905,383.06
5. Step 5: Solve for x
   x = 5,818,905,383.06/34,757.25
6. Step 6: Final answer
   x = 167,415.59