Finding the Third Proportional to 42,684 and 91,684.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,684 : 91,684.50 = 91,684.50 : x
2. Step 2: Convert to fraction form
   42,684/91,684.50 = 91,684.50/x
3. Step 3: Cross multiply
   42,684x = 91,684.50 × 91,684.50
4. Step 4: Simplify right side
   42,684x = 8,406,047,540.25
5. Step 5: Solve for x
   x = 8,406,047,540.25/42,684
6. Step 6: Final answer
   x = 196,936.73