Finding the Third Proportional to 21,632 and 47,152

Step by Step Solution

1. Step 1: Write the proportion equation
   21,632 : 47,152 = 47,152 : x
2. Step 2: Convert to fraction form
   21,632/47,152 = 47,152/x
3. Step 3: Cross multiply
   21,632x = 47,152 × 47,152
4. Step 4: Simplify right side
   21,632x = 2,223,311,104
5. Step 5: Solve for x
   x = 2,223,311,104/21,632
6. Step 6: Final answer
   x = 102,778.80