Finding the Third Proportional to 36,384 and 53,155.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,384 : 53,155.50 = 53,155.50 : x
2. Step 2: Convert to fraction form
   36,384/53,155.50 = 53,155.50/x
3. Step 3: Cross multiply
   36,384x = 53,155.50 × 53,155.50
4. Step 4: Simplify right side
   36,384x = 2,825,507,180.25
5. Step 5: Solve for x
   x = 2,825,507,180.25/36,384
6. Step 6: Final answer
   x = 77,657.96