Finding the Third Proportional to 37,800.50 and 83,110.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,800.50 : 83,110.50 = 83,110.50 : x
2. Step 2: Convert to fraction form
   37,800.50/83,110.50 = 83,110.50/x
3. Step 3: Cross multiply
   37,800.50x = 83,110.50 × 83,110.50
4. Step 4: Simplify right side
   37,800.50x = 6,907,355,210.25
5. Step 5: Solve for x
   x = 6,907,355,210.25/37,800.50
6. Step 6: Final answer
   x = 182,731.85