Finding the Third Proportional to 31,818 and 73,969.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,818 : 73,969.50 = 73,969.50 : x
2. Step 2: Convert to fraction form
   31,818/73,969.50 = 73,969.50/x
3. Step 3: Cross multiply
   31,818x = 73,969.50 × 73,969.50
4. Step 4: Simplify right side
   31,818x = 5,471,486,930.25
5. Step 5: Solve for x
   x = 5,471,486,930.25/31,818
6. Step 6: Final answer
   x = 171,962.00