Finding the Third Proportional to 23,820 and 51,406.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,820 : 51,406.50 = 51,406.50 : x
2. Step 2: Convert to fraction form
   23,820/51,406.50 = 51,406.50/x
3. Step 3: Cross multiply
   23,820x = 51,406.50 × 51,406.50
4. Step 4: Simplify right side
   23,820x = 2,642,628,242.25
5. Step 5: Solve for x
   x = 2,642,628,242.25/23,820
6. Step 6: Final answer
   x = 110,941.57