Finding the Third Proportional to 21,600 and 45,772

Step by Step Solution

1. Step 1: Write the proportion equation
   21,600 : 45,772 = 45,772 : x
2. Step 2: Convert to fraction form
   21,600/45,772 = 45,772/x
3. Step 3: Cross multiply
   21,600x = 45,772 × 45,772
4. Step 4: Simplify right side
   21,600x = 2,095,075,984
5. Step 5: Solve for x
   x = 2,095,075,984/21,600
6. Step 6: Final answer
   x = 96,994.26