Finding the Third Proportional to 19,632 and 45,984

Step by Step Solution

1. Step 1: Write the proportion equation
   19,632 : 45,984 = 45,984 : x
2. Step 2: Convert to fraction form
   19,632/45,984 = 45,984/x
3. Step 3: Cross multiply
   19,632x = 45,984 × 45,984
4. Step 4: Simplify right side
   19,632x = 2,114,528,256
5. Step 5: Solve for x
   x = 2,114,528,256/19,632
6. Step 6: Final answer
   x = 107,708.24