Finding the Third Proportional to 34,138 and 69,915.88

Step by Step Solution

1. Step 1: Write the proportion equation
   34,138 : 69,915.88 = 69,915.88 : x
2. Step 2: Convert to fraction form
   34,138/69,915.88 = 69,915.88/x
3. Step 3: Cross multiply
   34,138x = 69,915.88 × 69,915.88
4. Step 4: Simplify right side
   34,138x = 4,888,229,577.02
5. Step 5: Solve for x
   x = 4,888,229,577.02/34,138
6. Step 6: Final answer
   x = 143,190.27