Finding the Third Proportional to 21,346 and 34,297

Step by Step Solution

1. Step 1: Write the proportion equation
   21,346 : 34,297 = 34,297 : x
2. Step 2: Convert to fraction form
   21,346/34,297 = 34,297/x
3. Step 3: Cross multiply
   21,346x = 34,297 × 34,297
4. Step 4: Simplify right side
   21,346x = 1,176,284,209
5. Step 5: Solve for x
   x = 1,176,284,209/21,346
6. Step 6: Final answer
   x = 55,105.60