Finding the Third Proportional to 21,870 and 51,346

Step by Step Solution

1. Step 1: Write the proportion equation
   21,870 : 51,346 = 51,346 : x
2. Step 2: Convert to fraction form
   21,870/51,346 = 51,346/x
3. Step 3: Cross multiply
   21,870x = 51,346 × 51,346
4. Step 4: Simplify right side
   21,870x = 2,636,411,716
5. Step 5: Solve for x
   x = 2,636,411,716/21,870
6. Step 6: Final answer
   x = 120,549.23