Finding the Third Proportional to 23,624 and 32,098

Step by Step Solution

1. Step 1: Write the proportion equation
   23,624 : 32,098 = 32,098 : x
2. Step 2: Convert to fraction form
   23,624/32,098 = 32,098/x
3. Step 3: Cross multiply
   23,624x = 32,098 × 32,098
4. Step 4: Simplify right side
   23,624x = 1,030,281,604
5. Step 5: Solve for x
   x = 1,030,281,604/23,624
6. Step 6: Final answer
   x = 43,611.65