Finding the Third Proportional to 10,623 and 28,900.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,623 : 28,900.50 = 28,900.50 : x
2. Step 2: Convert to fraction form
   10,623/28,900.50 = 28,900.50/x
3. Step 3: Cross multiply
   10,623x = 28,900.50 × 28,900.50
4. Step 4: Simplify right side
   10,623x = 835,238,900.25
5. Step 5: Solve for x
   x = 835,238,900.25/10,623
6. Step 6: Final answer
   x = 78,625.52