Finding the Third Proportional to 23,280 and 33,264

Step by Step Solution

1. Step 1: Write the proportion equation
   23,280 : 33,264 = 33,264 : x
2. Step 2: Convert to fraction form
   23,280/33,264 = 33,264/x
3. Step 3: Cross multiply
   23,280x = 33,264 × 33,264
4. Step 4: Simplify right side
   23,280x = 1,106,493,696
5. Step 5: Solve for x
   x = 1,106,493,696/23,280
6. Step 6: Final answer
   x = 47,529.80