Finding the Third Proportional to 45,584 and 68,983.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,584 : 68,983.50 = 68,983.50 : x
2. Step 2: Convert to fraction form
   45,584/68,983.50 = 68,983.50/x
3. Step 3: Cross multiply
   45,584x = 68,983.50 × 68,983.50
4. Step 4: Simplify right side
   45,584x = 4,758,723,272.25
5. Step 5: Solve for x
   x = 4,758,723,272.25/45,584
6. Step 6: Final answer
   x = 104,394.60