Finding the Third Proportional to 10,320 and 21,594

Step by Step Solution

1. Step 1: Write the proportion equation
   10,320 : 21,594 = 21,594 : x
2. Step 2: Convert to fraction form
   10,320/21,594 = 21,594/x
3. Step 3: Cross multiply
   10,320x = 21,594 × 21,594
4. Step 4: Simplify right side
   10,320x = 466,300,836
5. Step 5: Solve for x
   x = 466,300,836/10,320
6. Step 6: Final answer
   x = 45,184.19