Finding the Third Proportional to 22,480 and 32,381

Step by Step Solution

1. Step 1: Write the proportion equation
   22,480 : 32,381 = 32,381 : x
2. Step 2: Convert to fraction form
   22,480/32,381 = 32,381/x
3. Step 3: Cross multiply
   22,480x = 32,381 × 32,381
4. Step 4: Simplify right side
   22,480x = 1,048,529,161
5. Step 5: Solve for x
   x = 1,048,529,161/22,480
6. Step 6: Final answer
   x = 46,642.76