Finding the Third Proportional to 36,811 and 57,322.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,811 : 57,322.50 = 57,322.50 : x
2. Step 2: Convert to fraction form
   36,811/57,322.50 = 57,322.50/x
3. Step 3: Cross multiply
   36,811x = 57,322.50 × 57,322.50
4. Step 4: Simplify right side
   36,811x = 3,285,869,006.25
5. Step 5: Solve for x
   x = 3,285,869,006.25/36,811
6. Step 6: Final answer
   x = 89,263.24