Finding the Third Proportional to 34,006.50 and 69,732.56

Step by Step Solution

1. Step 1: Write the proportion equation
   34,006.50 : 69,732.56 = 69,732.56 : x
2. Step 2: Convert to fraction form
   34,006.50/69,732.56 = 69,732.56/x
3. Step 3: Cross multiply
   34,006.50x = 69,732.56 × 69,732.56
4. Step 4: Simplify right side
   34,006.50x = 4,862,630,272.82
5. Step 5: Solve for x
   x = 4,862,630,272.82/34,006.50
6. Step 6: Final answer
   x = 142,991.20