Finding the Third Proportional to 12,645 and 21,415.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,645 : 21,415.50 = 21,415.50 : x
2. Step 2: Convert to fraction form
   12,645/21,415.50 = 21,415.50/x
3. Step 3: Cross multiply
   12,645x = 21,415.50 × 21,415.50
4. Step 4: Simplify right side
   12,645x = 458,623,640.25
5. Step 5: Solve for x
   x = 458,623,640.25/12,645
6. Step 6: Final answer
   x = 36,269.17