Finding the Third Proportional to 42,697 and 68,209.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,697 : 68,209.50 = 68,209.50 : x
2. Step 2: Convert to fraction form
   42,697/68,209.50 = 68,209.50/x
3. Step 3: Cross multiply
   42,697x = 68,209.50 × 68,209.50
4. Step 4: Simplify right side
   42,697x = 4,652,535,890.25
5. Step 5: Solve for x
   x = 4,652,535,890.25/42,697
6. Step 6: Final answer
   x = 108,966.34