Finding the Third Proportional to 7,802.63 and 16,698.75

Step by Step Solution

1. Step 1: Write the proportion equation
   7,802.63 : 16,698.75 = 16,698.75 : x
2. Step 2: Convert to fraction form
   7,802.63/16,698.75 = 16,698.75/x
3. Step 3: Cross multiply
   7,802.63x = 16,698.75 × 16,698.75
4. Step 4: Simplify right side
   7,802.63x = 278,848,251.56
5. Step 5: Solve for x
   x = 278,848,251.56/7,802.63
6. Step 6: Final answer
   x = 35,737.75