Finding the Third Proportional to 7,722.63 and 16,948.83

Step by Step Solution

1. Step 1: Write the proportion equation
   7,722.63 : 16,948.83 = 16,948.83 : x
2. Step 2: Convert to fraction form
   7,722.63/16,948.83 = 16,948.83/x
3. Step 3: Cross multiply
   7,722.63x = 16,948.83 × 16,948.83
4. Step 4: Simplify right side
   7,722.63x = 287,262,774.81
5. Step 5: Solve for x
   x = 287,262,774.81/7,722.63
6. Step 6: Final answer
   x = 37,197.52