Finding the Third Proportional to 11,506 and 23,892.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,506 : 23,892.75 = 23,892.75 : x
2. Step 2: Convert to fraction form
   11,506/23,892.75 = 23,892.75/x
3. Step 3: Cross multiply
   11,506x = 23,892.75 × 23,892.75
4. Step 4: Simplify right side
   11,506x = 570,863,502.56
5. Step 5: Solve for x
   x = 570,863,502.56/11,506
6. Step 6: Final answer
   x = 49,614.42