Finding the Third Proportional to 22,160 and 32,584

Step by Step Solution

1. Step 1: Write the proportion equation
   22,160 : 32,584 = 32,584 : x
2. Step 2: Convert to fraction form
   22,160/32,584 = 32,584/x
3. Step 3: Cross multiply
   22,160x = 32,584 × 32,584
4. Step 4: Simplify right side
   22,160x = 1,061,717,056
5. Step 5: Solve for x
   x = 1,061,717,056/22,160
6. Step 6: Final answer
   x = 47,911.42