Finding the Third Proportional to 21,570 and 47,148

Step by Step Solution

1. Step 1: Write the proportion equation
   21,570 : 47,148 = 47,148 : x
2. Step 2: Convert to fraction form
   21,570/47,148 = 47,148/x
3. Step 3: Cross multiply
   21,570x = 47,148 × 47,148
4. Step 4: Simplify right side
   21,570x = 2,222,933,904
5. Step 5: Solve for x
   x = 2,222,933,904/21,570
6. Step 6: Final answer
   x = 103,056.74