Finding the Third Proportional to 19,562 and 42,769

Step by Step Solution

1. Step 1: Write the proportion equation
   19,562 : 42,769 = 42,769 : x
2. Step 2: Convert to fraction form
   19,562/42,769 = 42,769/x
3. Step 3: Cross multiply
   19,562x = 42,769 × 42,769
4. Step 4: Simplify right side
   19,562x = 1,829,187,361
5. Step 5: Solve for x
   x = 1,829,187,361/19,562
6. Step 6: Final answer
   x = 93,507.18