Finding the Third Proportional to 19,645 and 42,405

Step by Step Solution

1. Step 1: Write the proportion equation
   19,645 : 42,405 = 42,405 : x
2. Step 2: Convert to fraction form
   19,645/42,405 = 42,405/x
3. Step 3: Cross multiply
   19,645x = 42,405 × 42,405
4. Step 4: Simplify right side
   19,645x = 1,798,184,025
5. Step 5: Solve for x
   x = 1,798,184,025/19,645
6. Step 6: Final answer
   x = 91,533.93