Finding the Third Proportional to 47,380 and 73,364

Step by Step Solution

1. Step 1: Write the proportion equation
   47,380 : 73,364 = 73,364 : x
2. Step 2: Convert to fraction form
   47,380/73,364 = 73,364/x
3. Step 3: Cross multiply
   47,380x = 73,364 × 73,364
4. Step 4: Simplify right side
   47,380x = 5,382,276,496
5. Step 5: Solve for x
   x = 5,382,276,496/47,380
6. Step 6: Final answer
   x = 113,598.07