Finding the Third Proportional to 35,951 and 68,210.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,951 : 68,210.50 = 68,210.50 : x
2. Step 2: Convert to fraction form
   35,951/68,210.50 = 68,210.50/x
3. Step 3: Cross multiply
   35,951x = 68,210.50 × 68,210.50
4. Step 4: Simplify right side
   35,951x = 4,652,672,310.25
5. Step 5: Solve for x
   x = 4,652,672,310.25/35,951
6. Step 6: Final answer
   x = 129,417.05