Finding the Third Proportional to 35,077 and 53,659.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,077 : 53,659.50 = 53,659.50 : x
2. Step 2: Convert to fraction form
   35,077/53,659.50 = 53,659.50/x
3. Step 3: Cross multiply
   35,077x = 53,659.50 × 53,659.50
4. Step 4: Simplify right side
   35,077x = 2,879,341,940.25
5. Step 5: Solve for x
   x = 2,879,341,940.25/35,077
6. Step 6: Final answer
   x = 82,086.32