Finding the Third Proportional to 34,626 and 49,516.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,626 : 49,516.50 = 49,516.50 : x
2. Step 2: Convert to fraction form
   34,626/49,516.50 = 49,516.50/x
3. Step 3: Cross multiply
   34,626x = 49,516.50 × 49,516.50
4. Step 4: Simplify right side
   34,626x = 2,451,883,772.25
5. Step 5: Solve for x
   x = 2,451,883,772.25/34,626
6. Step 6: Final answer
   x = 70,810.48