Finding the Third Proportional to 24,640 and 51,029.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,640 : 51,029.50 = 51,029.50 : x
2. Step 2: Convert to fraction form
   24,640/51,029.50 = 51,029.50/x
3. Step 3: Cross multiply
   24,640x = 51,029.50 × 51,029.50
4. Step 4: Simplify right side
   24,640x = 2,604,009,870.25
5. Step 5: Solve for x
   x = 2,604,009,870.25/24,640
6. Step 6: Final answer
   x = 105,682.22