Finding the Third Proportional to 21,384 and 45,672

Step by Step Solution

1. Step 1: Write the proportion equation
   21,384 : 45,672 = 45,672 : x
2. Step 2: Convert to fraction form
   21,384/45,672 = 45,672/x
3. Step 3: Cross multiply
   21,384x = 45,672 × 45,672
4. Step 4: Simplify right side
   21,384x = 2,085,931,584
5. Step 5: Solve for x
   x = 2,085,931,584/21,384
6. Step 6: Final answer
   x = 97,546.37