Finding the Third Proportional to 67,902 and 105,736.50

Step by Step Solution

1. Step 1: Write the proportion equation
   67,902 : 105,736.50 = 105,736.50 : x
2. Step 2: Convert to fraction form
   67,902/105,736.50 = 105,736.50/x
3. Step 3: Cross multiply
   67,902x = 105,736.50 × 105,736.50
4. Step 4: Simplify right side
   67,902x = 11,180,207,432.25
5. Step 5: Solve for x
   x = 11,180,207,432.25/67,902
6. Step 6: Final answer
   x = 164,652.11