Finding the Third Proportional to 35,646 and 55,438.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,646 : 55,438.50 = 55,438.50 : x
2. Step 2: Convert to fraction form
   35,646/55,438.50 = 55,438.50/x
3. Step 3: Cross multiply
   35,646x = 55,438.50 × 55,438.50
4. Step 4: Simplify right side
   35,646x = 3,073,427,282.25
5. Step 5: Solve for x
   x = 3,073,427,282.25/35,646
6. Step 6: Final answer
   x = 86,220.82