Finding the Third Proportional to 34,142.50 and 69,972.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,142.50 : 69,972.50 = 69,972.50 : x
2. Step 2: Convert to fraction form
   34,142.50/69,972.50 = 69,972.50/x
3. Step 3: Cross multiply
   34,142.50x = 69,972.50 × 69,972.50
4. Step 4: Simplify right side
   34,142.50x = 4,896,150,756.25
5. Step 5: Solve for x
   x = 4,896,150,756.25/34,142.50
6. Step 6: Final answer
   x = 143,403.41