Finding the Third Proportional to 19,665 and 42,465

Step by Step Solution

1. Step 1: Write the proportion equation
   19,665 : 42,465 = 42,465 : x
2. Step 2: Convert to fraction form
   19,665/42,465 = 42,465/x
3. Step 3: Cross multiply
   19,665x = 42,465 × 42,465
4. Step 4: Simplify right side
   19,665x = 1,803,276,225
5. Step 5: Solve for x
   x = 1,803,276,225/19,665
6. Step 6: Final answer
   x = 91,699.78