Finding the Third Proportional to 10,005.75 and 21,856.13

Step by Step Solution

1. Step 1: Write the proportion equation
   10,005.75 : 21,856.13 = 21,856.13 : x
2. Step 2: Convert to fraction form
   10,005.75/21,856.13 = 21,856.13/x
3. Step 3: Cross multiply
   10,005.75x = 21,856.13 × 21,856.13
4. Step 4: Simplify right side
   10,005.75x = 477,690,200.02
5. Step 5: Solve for x
   x = 477,690,200.02/10,005.75
6. Step 6: Final answer
   x = 47,741.57