Finding the Third Proportional to 19,506 and 42,084

Step by Step Solution

1. Step 1: Write the proportion equation
   19,506 : 42,084 = 42,084 : x
2. Step 2: Convert to fraction form
   19,506/42,084 = 42,084/x
3. Step 3: Cross multiply
   19,506x = 42,084 × 42,084
4. Step 4: Simplify right side
   19,506x = 1,771,063,056
5. Step 5: Solve for x
   x = 1,771,063,056/19,506
6. Step 6: Final answer
   x = 90,795.81