Finding the Third Proportional to 31,835.25 and 68,368.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,835.25 : 68,368.50 = 68,368.50 : x
2. Step 2: Convert to fraction form
   31,835.25/68,368.50 = 68,368.50/x
3. Step 3: Cross multiply
   31,835.25x = 68,368.50 × 68,368.50
4. Step 4: Simplify right side
   31,835.25x = 4,674,251,792.25
5. Step 5: Solve for x
   x = 4,674,251,792.25/31,835.25
6. Step 6: Final answer
   x = 146,826.29