Finding the Third Proportional to 10,258 and 22,076

Step by Step Solution

1. Step 1: Write the proportion equation
   10,258 : 22,076 = 22,076 : x
2. Step 2: Convert to fraction form
   10,258/22,076 = 22,076/x
3. Step 3: Cross multiply
   10,258x = 22,076 × 22,076
4. Step 4: Simplify right side
   10,258x = 487,349,776
5. Step 5: Solve for x
   x = 487,349,776/10,258
6. Step 6: Final answer
   x = 47,509.24