Finding the Third Proportional to 12,783 and 20,056.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,783 : 20,056.50 = 20,056.50 : x
2. Step 2: Convert to fraction form
   12,783/20,056.50 = 20,056.50/x
3. Step 3: Cross multiply
   12,783x = 20,056.50 × 20,056.50
4. Step 4: Simplify right side
   12,783x = 402,263,192.25
5. Step 5: Solve for x
   x = 402,263,192.25/12,783
6. Step 6: Final answer
   x = 31,468.61