Finding the Third Proportional to 31,817 and 71,884.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,817 : 71,884.50 = 71,884.50 : x
2. Step 2: Convert to fraction form
   31,817/71,884.50 = 71,884.50/x
3. Step 3: Cross multiply
   31,817x = 71,884.50 × 71,884.50
4. Step 4: Simplify right side
   31,817x = 5,167,381,340.25
5. Step 5: Solve for x
   x = 5,167,381,340.25/31,817
6. Step 6: Final answer
   x = 162,409.45