Finding the Third Proportional to 19,696 and 42,470

Step by Step Solution

1. Step 1: Write the proportion equation
   19,696 : 42,470 = 42,470 : x
2. Step 2: Convert to fraction form
   19,696/42,470 = 42,470/x
3. Step 3: Cross multiply
   19,696x = 42,470 × 42,470
4. Step 4: Simplify right side
   19,696x = 1,803,700,900
5. Step 5: Solve for x
   x = 1,803,700,900/19,696
6. Step 6: Final answer
   x = 91,577.02