Finding the Third Proportional to 10,802.25 and 25,763.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,802.25 : 25,763.63 = 25,763.63 : x
2. Step 2: Convert to fraction form
   10,802.25/25,763.63 = 25,763.63/x
3. Step 3: Cross multiply
   10,802.25x = 25,763.63 × 25,763.63
4. Step 4: Simplify right side
   10,802.25x = 663,764,373.14
5. Step 5: Solve for x
   x = 663,764,373.14/10,802.25
6. Step 6: Final answer
   x = 61,446.86