Finding the Third Proportional to 31,816 and 68,518.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,816 : 68,518.50 = 68,518.50 : x
2. Step 2: Convert to fraction form
   31,816/68,518.50 = 68,518.50/x
3. Step 3: Cross multiply
   31,816x = 68,518.50 × 68,518.50
4. Step 4: Simplify right side
   31,816x = 4,694,784,842.25
5. Step 5: Solve for x
   x = 4,694,784,842.25/31,816
6. Step 6: Final answer
   x = 147,560.50