Finding the Third Proportional to 36,813 and 57,406.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,813 : 57,406.50 = 57,406.50 : x
2. Step 2: Convert to fraction form
   36,813/57,406.50 = 57,406.50/x
3. Step 3: Cross multiply
   36,813x = 57,406.50 × 57,406.50
4. Step 4: Simplify right side
   36,813x = 3,295,506,242.25
5. Step 5: Solve for x
   x = 3,295,506,242.25/36,813
6. Step 6: Final answer
   x = 89,520.18