Finding the Third Proportional to 19,534 and 42,308

Step by Step Solution

1. Step 1: Write the proportion equation
   19,534 : 42,308 = 42,308 : x
2. Step 2: Convert to fraction form
   19,534/42,308 = 42,308/x
3. Step 3: Cross multiply
   19,534x = 42,308 × 42,308
4. Step 4: Simplify right side
   19,534x = 1,789,966,864
5. Step 5: Solve for x
   x = 1,789,966,864/19,534
6. Step 6: Final answer
   x = 91,633.40