Finding the Third Proportional to 35,196 and 75,893.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,196 : 75,893.50 = 75,893.50 : x
2. Step 2: Convert to fraction form
   35,196/75,893.50 = 75,893.50/x
3. Step 3: Cross multiply
   35,196x = 75,893.50 × 75,893.50
4. Step 4: Simplify right side
   35,196x = 5,759,823,342.25
5. Step 5: Solve for x
   x = 5,759,823,342.25/35,196
6. Step 6: Final answer
   x = 163,649.94