Finding the Third Proportional to 34,852 and 53,323.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,852 : 53,323.50 = 53,323.50 : x
2. Step 2: Convert to fraction form
   34,852/53,323.50 = 53,323.50/x
3. Step 3: Cross multiply
   34,852x = 53,323.50 × 53,323.50
4. Step 4: Simplify right side
   34,852x = 2,843,395,652.25
5. Step 5: Solve for x
   x = 2,843,395,652.25/34,852
6. Step 6: Final answer
   x = 81,584.86