Finding the Third Proportional to 16,465.15 and 38,830.64

Step by Step Solution

1. Step 1: Write the proportion equation
   16,465.15 : 38,830.64 = 38,830.64 : x
2. Step 2: Convert to fraction form
   16,465.15/38,830.64 = 38,830.64/x
3. Step 3: Cross multiply
   16,465.15x = 38,830.64 × 38,830.64
4. Step 4: Simplify right side
   16,465.15x = 1,507,818,651.35
5. Step 5: Solve for x
   x = 1,507,818,651.35/16,465.15
6. Step 6: Final answer
   x = 91,576.38