Finding the Third Proportional to 19,534 and 42,770

Step by Step Solution

1. Step 1: Write the proportion equation
   19,534 : 42,770 = 42,770 : x
2. Step 2: Convert to fraction form
   19,534/42,770 = 42,770/x
3. Step 3: Cross multiply
   19,534x = 42,770 × 42,770
4. Step 4: Simplify right side
   19,534x = 1,829,272,900
5. Step 5: Solve for x
   x = 1,829,272,900/19,534
6. Step 6: Final answer
   x = 93,645.59