Finding the Third Proportional to 10,074 and 21,878.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,074 : 21,878.25 = 21,878.25 : x
2. Step 2: Convert to fraction form
   10,074/21,878.25 = 21,878.25/x
3. Step 3: Cross multiply
   10,074x = 21,878.25 × 21,878.25
4. Step 4: Simplify right side
   10,074x = 478,657,823.06
5. Step 5: Solve for x
   x = 478,657,823.06/10,074
6. Step 6: Final answer
   x = 47,514.18