Finding the Third Proportional to 36,955.50 and 83,775.75

Step by Step Solution

1. Step 1: Write the proportion equation
   36,955.50 : 83,775.75 = 83,775.75 : x
2. Step 2: Convert to fraction form
   36,955.50/83,775.75 = 83,775.75/x
3. Step 3: Cross multiply
   36,955.50x = 83,775.75 × 83,775.75
4. Step 4: Simplify right side
   36,955.50x = 7,018,376,288.06
5. Step 5: Solve for x
   x = 7,018,376,288.06/36,955.50
6. Step 6: Final answer
   x = 189,914.26