Finding the Third Proportional to 45,416 and 68,138.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,416 : 68,138.50 = 68,138.50 : x
2. Step 2: Convert to fraction form
   45,416/68,138.50 = 68,138.50/x
3. Step 3: Cross multiply
   45,416x = 68,138.50 × 68,138.50
4. Step 4: Simplify right side
   45,416x = 4,642,855,182.25
5. Step 5: Solve for x
   x = 4,642,855,182.25/45,416
6. Step 6: Final answer
   x = 102,229.50