Finding the Third Proportional to 34,665 and 49,537.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,665 : 49,537.50 = 49,537.50 : x
2. Step 2: Convert to fraction form
   34,665/49,537.50 = 49,537.50/x
3. Step 3: Cross multiply
   34,665x = 49,537.50 × 49,537.50
4. Step 4: Simplify right side
   34,665x = 2,453,963,906.25
5. Step 5: Solve for x
   x = 2,453,963,906.25/34,665
6. Step 6: Final answer
   x = 70,790.82