Finding the Third Proportional to 41,583 and 61,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,583 : 61,096.50 = 61,096.50 : x
2. Step 2: Convert to fraction form
   41,583/61,096.50 = 61,096.50/x
3. Step 3: Cross multiply
   41,583x = 61,096.50 × 61,096.50
4. Step 4: Simplify right side
   41,583x = 3,732,782,312.25
5. Step 5: Solve for x
   x = 3,732,782,312.25/41,583
6. Step 6: Final answer
   x = 89,767.03