Finding the Third Proportional to 33,954.19 and 76,681.69

Step by Step Solution

1. Step 1: Write the proportion equation
   33,954.19 : 76,681.69 = 76,681.69 : x
2. Step 2: Convert to fraction form
   33,954.19/76,681.69 = 76,681.69/x
3. Step 3: Cross multiply
   33,954.19x = 76,681.69 × 76,681.69
4. Step 4: Simplify right side
   33,954.19x = 5,880,081,197.85
5. Step 5: Solve for x
   x = 5,880,081,197.85/33,954.19
6. Step 6: Final answer
   x = 173,176.91