Finding the Third Proportional to 31,115 and 68,277.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,115 : 68,277.50 = 68,277.50 : x
2. Step 2: Convert to fraction form
   31,115/68,277.50 = 68,277.50/x
3. Step 3: Cross multiply
   31,115x = 68,277.50 × 68,277.50
4. Step 4: Simplify right side
   31,115x = 4,661,817,006.25
5. Step 5: Solve for x
   x = 4,661,817,006.25/31,115
6. Step 6: Final answer
   x = 149,825.39