Finding the Third Proportional to 12,380 and 27,094

Step by Step Solution

1. Step 1: Write the proportion equation
   12,380 : 27,094 = 27,094 : x
2. Step 2: Convert to fraction form
   12,380/27,094 = 27,094/x
3. Step 3: Cross multiply
   12,380x = 27,094 × 27,094
4. Step 4: Simplify right side
   12,380x = 734,084,836
5. Step 5: Solve for x
   x = 734,084,836/12,380
6. Step 6: Final answer
   x = 59,296.03