Finding the Third Proportional to 42,568.50 and 91,633.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,568.50 : 91,633.50 = 91,633.50 : x
2. Step 2: Convert to fraction form
   42,568.50/91,633.50 = 91,633.50/x
3. Step 3: Cross multiply
   42,568.50x = 91,633.50 × 91,633.50
4. Step 4: Simplify right side
   42,568.50x = 8,396,698,322.25
5. Step 5: Solve for x
   x = 8,396,698,322.25/42,568.50
6. Step 6: Final answer
   x = 197,251.45