Finding the Third Proportional to 10,758 and 23,646

Step by Step Solution

1. Step 1: Write the proportion equation
   10,758 : 23,646 = 23,646 : x
2. Step 2: Convert to fraction form
   10,758/23,646 = 23,646/x
3. Step 3: Cross multiply
   10,758x = 23,646 × 23,646
4. Step 4: Simplify right side
   10,758x = 559,133,316
5. Step 5: Solve for x
   x = 559,133,316/10,758
6. Step 6: Final answer
   x = 51,973.72