Finding the Third Proportional to 35,892.75 and 83,832

Step by Step Solution

1. Step 1: Write the proportion equation
   35,892.75 : 83,832 = 83,832 : x
2. Step 2: Convert to fraction form
   35,892.75/83,832 = 83,832/x
3. Step 3: Cross multiply
   35,892.75x = 83,832 × 83,832
4. Step 4: Simplify right side
   35,892.75x = 7,027,804,224
5. Step 5: Solve for x
   x = 7,027,804,224/35,892.75
6. Step 6: Final answer
   x = 195,800.11