Finding the Third Proportional to 42,546 and 91,410

Step by Step Solution

1. Step 1: Write the proportion equation
   42,546 : 91,410 = 91,410 : x
2. Step 2: Convert to fraction form
   42,546/91,410 = 91,410/x
3. Step 3: Cross multiply
   42,546x = 91,410 × 91,410
4. Step 4: Simplify right side
   42,546x = 8,355,788,100
5. Step 5: Solve for x
   x = 8,355,788,100/42,546
6. Step 6: Final answer
   x = 196,394.21