Finding the Third Proportional to 45,414 and 68,135.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,414 : 68,135.50 = 68,135.50 : x
2. Step 2: Convert to fraction form
   45,414/68,135.50 = 68,135.50/x
3. Step 3: Cross multiply
   45,414x = 68,135.50 × 68,135.50
4. Step 4: Simplify right side
   45,414x = 4,642,446,360.25
5. Step 5: Solve for x
   x = 4,642,446,360.25/45,414
6. Step 6: Final answer
   x = 102,225.00