Finding the Third Proportional to 10,623 and 28,897

Step by Step Solution

1. Step 1: Write the proportion equation
   10,623 : 28,897 = 28,897 : x
2. Step 2: Convert to fraction form
   10,623/28,897 = 28,897/x
3. Step 3: Cross multiply
   10,623x = 28,897 × 28,897
4. Step 4: Simplify right side
   10,623x = 835,036,609
5. Step 5: Solve for x
   x = 835,036,609/10,623
6. Step 6: Final answer
   x = 78,606.48