Finding the Third Proportional to 34,854 and 76,378.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,854 : 76,378.50 = 76,378.50 : x
2. Step 2: Convert to fraction form
   34,854/76,378.50 = 76,378.50/x
3. Step 3: Cross multiply
   34,854x = 76,378.50 × 76,378.50
4. Step 4: Simplify right side
   34,854x = 5,833,675,262.25
5. Step 5: Solve for x
   x = 5,833,675,262.25/34,854
6. Step 6: Final answer
   x = 167,374.63