Finding the Third Proportional to 38,257 and 63,222

Step by Step Solution

1. Step 1: Write the proportion equation
   38,257 : 63,222 = 63,222 : x
2. Step 2: Convert to fraction form
   38,257/63,222 = 63,222/x
3. Step 3: Cross multiply
   38,257x = 63,222 × 63,222
4. Step 4: Simplify right side
   38,257x = 3,997,021,284
5. Step 5: Solve for x
   x = 3,997,021,284/38,257
6. Step 6: Final answer
   x = 104,478.17