Finding the Third Proportional to 35,926 and 83,889

Step by Step Solution

1. Step 1: Write the proportion equation
   35,926 : 83,889 = 83,889 : x
2. Step 2: Convert to fraction form
   35,926/83,889 = 83,889/x
3. Step 3: Cross multiply
   35,926x = 83,889 × 83,889
4. Step 4: Simplify right side
   35,926x = 7,037,364,321
5. Step 5: Solve for x
   x = 7,037,364,321/35,926
6. Step 6: Final answer
   x = 195,884.99