Finding the Third Proportional to 10,075 and 23,705.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,075 : 23,705.50 = 23,705.50 : x
2. Step 2: Convert to fraction form
   10,075/23,705.50 = 23,705.50/x
3. Step 3: Cross multiply
   10,075x = 23,705.50 × 23,705.50
4. Step 4: Simplify right side
   10,075x = 561,950,730.25
5. Step 5: Solve for x
   x = 561,950,730.25/10,075
6. Step 6: Final answer
   x = 55,776.75