Finding the Third Proportional to 42,046 and 91,984

Step by Step Solution

1. Step 1: Write the proportion equation
   42,046 : 91,984 = 91,984 : x
2. Step 2: Convert to fraction form
   42,046/91,984 = 91,984/x
3. Step 3: Cross multiply
   42,046x = 91,984 × 91,984
4. Step 4: Simplify right side
   42,046x = 8,461,056,256
5. Step 5: Solve for x
   x = 8,461,056,256/42,046
6. Step 6: Final answer
   x = 201,233.32