Finding the Third Proportional to 35,106 and 76,771.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,106 : 76,771.50 = 76,771.50 : x
2. Step 2: Convert to fraction form
   35,106/76,771.50 = 76,771.50/x
3. Step 3: Cross multiply
   35,106x = 76,771.50 × 76,771.50
4. Step 4: Simplify right side
   35,106x = 5,893,863,212.25
5. Step 5: Solve for x
   x = 5,893,863,212.25/35,106
6. Step 6: Final answer
   x = 167,887.63