Finding the Third Proportional to 10,802.25 and 23,611.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,802.25 : 23,611.50 = 23,611.50 : x
2. Step 2: Convert to fraction form
   10,802.25/23,611.50 = 23,611.50/x
3. Step 3: Cross multiply
   10,802.25x = 23,611.50 × 23,611.50
4. Step 4: Simplify right side
   10,802.25x = 557,502,932.25
5. Step 5: Solve for x
   x = 557,502,932.25/10,802.25
6. Step 6: Final answer
   x = 51,609.89