Finding the Third Proportional to 35,005.50 and 53,804.25

Step by Step Solution

1. Step 1: Write the proportion equation
   35,005.50 : 53,804.25 = 53,804.25 : x
2. Step 2: Convert to fraction form
   35,005.50/53,804.25 = 53,804.25/x
3. Step 3: Cross multiply
   35,005.50x = 53,804.25 × 53,804.25
4. Step 4: Simplify right side
   35,005.50x = 2,894,897,318.06
5. Step 5: Solve for x
   x = 2,894,897,318.06/35,005.50
6. Step 6: Final answer
   x = 82,698.36