Finding the Third Proportional to 19,688 and 42,486

Step by Step Solution

1. Step 1: Write the proportion equation
   19,688 : 42,486 = 42,486 : x
2. Step 2: Convert to fraction form
   19,688/42,486 = 42,486/x
3. Step 3: Cross multiply
   19,688x = 42,486 × 42,486
4. Step 4: Simplify right side
   19,688x = 1,805,060,196
5. Step 5: Solve for x
   x = 1,805,060,196/19,688
6. Step 6: Final answer
   x = 91,683.27