Finding the Third Proportional to 10,258.25 and 22,085.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,258.25 : 22,085.63 = 22,085.63 : x
2. Step 2: Convert to fraction form
   10,258.25/22,085.63 = 22,085.63/x
3. Step 3: Cross multiply
   10,258.25x = 22,085.63 × 22,085.63
4. Step 4: Simplify right side
   10,258.25x = 487,774,831.64
5. Step 5: Solve for x
   x = 487,774,831.64/10,258.25
6. Step 6: Final answer
   x = 47,549.52