Finding the Third Proportional to 11,501 and 23,488

Step by Step Solution

1. Step 1: Write the proportion equation
   11,501 : 23,488 = 23,488 : x
2. Step 2: Convert to fraction form
   11,501/23,488 = 23,488/x
3. Step 3: Cross multiply
   11,501x = 23,488 × 23,488
4. Step 4: Simplify right side
   11,501x = 551,686,144
5. Step 5: Solve for x
   x = 551,686,144/11,501
6. Step 6: Final answer
   x = 47,968.54