Finding the Third Proportional to 19,582 and 45,732

Step by Step Solution

1. Step 1: Write the proportion equation
   19,582 : 45,732 = 45,732 : x
2. Step 2: Convert to fraction form
   19,582/45,732 = 45,732/x
3. Step 3: Cross multiply
   19,582x = 45,732 × 45,732
4. Step 4: Simplify right side
   19,582x = 2,091,415,824
5. Step 5: Solve for x
   x = 2,091,415,824/19,582
6. Step 6: Final answer
   x = 106,802.97