Finding the Third Proportional to 10,957.50 and 17,802.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,957.50 : 17,802.75 = 17,802.75 : x
2. Step 2: Convert to fraction form
   10,957.50/17,802.75 = 17,802.75/x
3. Step 3: Cross multiply
   10,957.50x = 17,802.75 × 17,802.75
4. Step 4: Simplify right side
   10,957.50x = 316,937,907.56
5. Step 5: Solve for x
   x = 316,937,907.56/10,957.50
6. Step 6: Final answer
   x = 28,924.29