Finding the Third Proportional to 33,682.50 and 69,309

Step by Step Solution

1. Step 1: Write the proportion equation
   33,682.50 : 69,309 = 69,309 : x
2. Step 2: Convert to fraction form
   33,682.50/69,309 = 69,309/x
3. Step 3: Cross multiply
   33,682.50x = 69,309 × 69,309
4. Step 4: Simplify right side
   33,682.50x = 4,803,737,481
5. Step 5: Solve for x
   x = 4,803,737,481/33,682.50
6. Step 6: Final answer
   x = 142,618.20