Finding the Third Proportional to 31,383 and 68,302.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,383 : 68,302.50 = 68,302.50 : x
2. Step 2: Convert to fraction form
   31,383/68,302.50 = 68,302.50/x
3. Step 3: Cross multiply
   31,383x = 68,302.50 × 68,302.50
4. Step 4: Simplify right side
   31,383x = 4,665,231,506.25
5. Step 5: Solve for x
   x = 4,665,231,506.25/31,383
6. Step 6: Final answer
   x = 148,654.73