Finding the Third Proportional to 22,870 and 32,641

Step by Step Solution

1. Step 1: Write the proportion equation
   22,870 : 32,641 = 32,641 : x
2. Step 2: Convert to fraction form
   22,870/32,641 = 32,641/x
3. Step 3: Cross multiply
   22,870x = 32,641 × 32,641
4. Step 4: Simplify right side
   22,870x = 1,065,434,881
5. Step 5: Solve for x
   x = 1,065,434,881/22,870
6. Step 6: Final answer
   x = 46,586.57