Finding the Third Proportional to 10,977.50 and 23,710

Step by Step Solution

1. Step 1: Write the proportion equation
   10,977.50 : 23,710 = 23,710 : x
2. Step 2: Convert to fraction form
   10,977.50/23,710 = 23,710/x
3. Step 3: Cross multiply
   10,977.50x = 23,710 × 23,710
4. Step 4: Simplify right side
   10,977.50x = 562,164,100
5. Step 5: Solve for x
   x = 562,164,100/10,977.50
6. Step 6: Final answer
   x = 51,210.58