Finding the Third Proportional to 35,006 and 76,815.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,006 : 76,815.50 = 76,815.50 : x
2. Step 2: Convert to fraction form
   35,006/76,815.50 = 76,815.50/x
3. Step 3: Cross multiply
   35,006x = 76,815.50 × 76,815.50
4. Step 4: Simplify right side
   35,006x = 5,900,621,040.25
5. Step 5: Solve for x
   x = 5,900,621,040.25/35,006
6. Step 6: Final answer
   x = 168,560.28