Finding the Third Proportional to 19,644 and 36,415.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,644 : 36,415.50 = 36,415.50 : x
2. Step 2: Convert to fraction form
   19,644/36,415.50 = 36,415.50/x
3. Step 3: Cross multiply
   19,644x = 36,415.50 × 36,415.50
4. Step 4: Simplify right side
   19,644x = 1,326,088,640.25
5. Step 5: Solve for x
   x = 1,326,088,640.25/19,644
6. Step 6: Final answer
   x = 67,506.04