Finding the Third Proportional to 10,056 and 14,793.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,056 : 14,793.50 = 14,793.50 : x
2. Step 2: Convert to fraction form
   10,056/14,793.50 = 14,793.50/x
3. Step 3: Cross multiply
   10,056x = 14,793.50 × 14,793.50
4. Step 4: Simplify right side
   10,056x = 218,847,642.25
5. Step 5: Solve for x
   x = 218,847,642.25/10,056
6. Step 6: Final answer
   x = 21,762.89