Finding the Third Proportional to 36,212.50 and 53,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,212.50 : 53,022.50 = 53,022.50 : x
2. Step 2: Convert to fraction form
   36,212.50/53,022.50 = 53,022.50/x
3. Step 3: Cross multiply
   36,212.50x = 53,022.50 × 53,022.50
4. Step 4: Simplify right side
   36,212.50x = 2,811,385,506.25
5. Step 5: Solve for x
   x = 2,811,385,506.25/36,212.50
6. Step 6: Final answer
   x = 77,635.78