Finding the Third Proportional to 30,669.50 and 65,711

Step by Step Solution

1. Step 1: Write the proportion equation
   30,669.50 : 65,711 = 65,711 : x
2. Step 2: Convert to fraction form
   30,669.50/65,711 = 65,711/x
3. Step 3: Cross multiply
   30,669.50x = 65,711 × 65,711
4. Step 4: Simplify right side
   30,669.50x = 4,317,935,521
5. Step 5: Solve for x
   x = 4,317,935,521/30,669.50
6. Step 6: Final answer
   x = 140,789.24