Finding the Third Proportional to 22,171 and 32,431

Step by Step Solution

1. Step 1: Write the proportion equation
   22,171 : 32,431 = 32,431 : x
2. Step 2: Convert to fraction form
   22,171/32,431 = 32,431/x
3. Step 3: Cross multiply
   22,171x = 32,431 × 32,431
4. Step 4: Simplify right side
   22,171x = 1,051,769,761
5. Step 5: Solve for x
   x = 1,051,769,761/22,171
6. Step 6: Final answer
   x = 47,438.99