Finding the Third Proportional to 34,829 and 76,334.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,829 : 76,334.50 = 76,334.50 : x
2. Step 2: Convert to fraction form
   34,829/76,334.50 = 76,334.50/x
3. Step 3: Cross multiply
   34,829x = 76,334.50 × 76,334.50
4. Step 4: Simplify right side
   34,829x = 5,826,955,890.25
5. Step 5: Solve for x
   x = 5,826,955,890.25/34,829
6. Step 6: Final answer
   x = 167,301.84