Finding the Third Proportional to 31,589 and 68,098.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,589 : 68,098.50 = 68,098.50 : x
2. Step 2: Convert to fraction form
   31,589/68,098.50 = 68,098.50/x
3. Step 3: Cross multiply
   31,589x = 68,098.50 × 68,098.50
4. Step 4: Simplify right side
   31,589x = 4,637,405,702.25
5. Step 5: Solve for x
   x = 4,637,405,702.25/31,589
6. Step 6: Final answer
   x = 146,804.45