Finding the Third Proportional to 31,599 and 68,395.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,599 : 68,395.50 = 68,395.50 : x
2. Step 2: Convert to fraction form
   31,599/68,395.50 = 68,395.50/x
3. Step 3: Cross multiply
   31,599x = 68,395.50 × 68,395.50
4. Step 4: Simplify right side
   31,599x = 4,677,944,420.25
5. Step 5: Solve for x
   x = 4,677,944,420.25/31,599
6. Step 6: Final answer
   x = 148,040.90