Finding the Third Proportional to 36,774 and 51,784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,774 : 51,784.50 = 51,784.50 : x
2. Step 2: Convert to fraction form
   36,774/51,784.50 = 51,784.50/x
3. Step 3: Cross multiply
   36,774x = 51,784.50 × 51,784.50
4. Step 4: Simplify right side
   36,774x = 2,681,634,440.25
5. Step 5: Solve for x
   x = 2,681,634,440.25/36,774
6. Step 6: Final answer
   x = 72,922.02