Finding the Third Proportional to 38,277 and 56,321.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,277 : 56,321.50 = 56,321.50 : x
2. Step 2: Convert to fraction form
   38,277/56,321.50 = 56,321.50/x
3. Step 3: Cross multiply
   38,277x = 56,321.50 × 56,321.50
4. Step 4: Simplify right side
   38,277x = 3,172,111,362.25
5. Step 5: Solve for x
   x = 3,172,111,362.25/38,277
6. Step 6: Final answer
   x = 82,872.52