Finding the Third Proportional to 13,996 and 32,362

Step by Step Solution

1. Step 1: Write the proportion equation
   13,996 : 32,362 = 32,362 : x
2. Step 2: Convert to fraction form
   13,996/32,362 = 32,362/x
3. Step 3: Cross multiply
   13,996x = 32,362 × 32,362
4. Step 4: Simplify right side
   13,996x = 1,047,299,044
5. Step 5: Solve for x
   x = 1,047,299,044/13,996
6. Step 6: Final answer
   x = 74,828.45