Finding the Third Proportional to 42,030 and 91,458

Step by Step Solution

1. Step 1: Write the proportion equation
   42,030 : 91,458 = 91,458 : x
2. Step 2: Convert to fraction form
   42,030/91,458 = 91,458/x
3. Step 3: Cross multiply
   42,030x = 91,458 × 91,458
4. Step 4: Simplify right side
   42,030x = 8,364,565,764
5. Step 5: Solve for x
   x = 8,364,565,764/42,030
6. Step 6: Final answer
   x = 199,014.17