Finding the Third Proportional to 31,827 and 68,890.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,827 : 68,890.50 = 68,890.50 : x
2. Step 2: Convert to fraction form
   31,827/68,890.50 = 68,890.50/x
3. Step 3: Cross multiply
   31,827x = 68,890.50 × 68,890.50
4. Step 4: Simplify right side
   31,827x = 4,745,900,990.25
5. Step 5: Solve for x
   x = 4,745,900,990.25/31,827
6. Step 6: Final answer
   x = 149,115.56