Finding the Third Proportional to 21,152 and 45,648

Step by Step Solution

1. Step 1: Write the proportion equation
   21,152 : 45,648 = 45,648 : x
2. Step 2: Convert to fraction form
   21,152/45,648 = 45,648/x
3. Step 3: Cross multiply
   21,152x = 45,648 × 45,648
4. Step 4: Simplify right side
   21,152x = 2,083,739,904
5. Step 5: Solve for x
   x = 2,083,739,904/21,152
6. Step 6: Final answer
   x = 98,512.67