Finding the Third Proportional to 34,105.50 and 69,599.25

Step by Step Solution

1. Step 1: Write the proportion equation
   34,105.50 : 69,599.25 = 69,599.25 : x
2. Step 2: Convert to fraction form
   34,105.50/69,599.25 = 69,599.25/x
3. Step 3: Cross multiply
   34,105.50x = 69,599.25 × 69,599.25
4. Step 4: Simplify right side
   34,105.50x = 4,844,055,600.56
5. Step 5: Solve for x
   x = 4,844,055,600.56/34,105.50
6. Step 6: Final answer
   x = 142,031.51