Finding the Third Proportional to 24,333 and 51,802.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,333 : 51,802.50 = 51,802.50 : x
2. Step 2: Convert to fraction form
   24,333/51,802.50 = 51,802.50/x
3. Step 3: Cross multiply
   24,333x = 51,802.50 × 51,802.50
4. Step 4: Simplify right side
   24,333x = 2,683,499,006.25
5. Step 5: Solve for x
   x = 2,683,499,006.25/24,333
6. Step 6: Final answer
   x = 110,282.29