Finding the Third Proportional to 55,611 and 83,896.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,611 : 83,896.50 = 83,896.50 : x
2. Step 2: Convert to fraction form
   55,611/83,896.50 = 83,896.50/x
3. Step 3: Cross multiply
   55,611x = 83,896.50 × 83,896.50
4. Step 4: Simplify right side
   55,611x = 7,038,622,712.25
5. Step 5: Solve for x
   x = 7,038,622,712.25/55,611
6. Step 6: Final answer
   x = 126,568.89