Finding the Third Proportional to 31,346 and 65,284

Step by Step Solution

1. Step 1: Write the proportion equation
   31,346 : 65,284 = 65,284 : x
2. Step 2: Convert to fraction form
   31,346/65,284 = 65,284/x
3. Step 3: Cross multiply
   31,346x = 65,284 × 65,284
4. Step 4: Simplify right side
   31,346x = 4,262,000,656
5. Step 5: Solve for x
   x = 4,262,000,656/31,346
6. Step 6: Final answer
   x = 135,966.33