Finding the Third Proportional to 21,947 and 48,076

Step by Step Solution

1. Step 1: Write the proportion equation
   21,947 : 48,076 = 48,076 : x
2. Step 2: Convert to fraction form
   21,947/48,076 = 48,076/x
3. Step 3: Cross multiply
   21,947x = 48,076 × 48,076
4. Step 4: Simplify right side
   21,947x = 2,311,301,776
5. Step 5: Solve for x
   x = 2,311,301,776/21,947
6. Step 6: Final answer
   x = 105,312.88