Finding the Third Proportional to 33,870 and 48,314

Step by Step Solution

1. Step 1: Write the proportion equation
   33,870 : 48,314 = 48,314 : x
2. Step 2: Convert to fraction form
   33,870/48,314 = 48,314/x
3. Step 3: Cross multiply
   33,870x = 48,314 × 48,314
4. Step 4: Simplify right side
   33,870x = 2,334,242,596
5. Step 5: Solve for x
   x = 2,334,242,596/33,870
6. Step 6: Final answer
   x = 68,917.70