Finding the Third Proportional to 37,102.50 and 82,208.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,102.50 : 82,208.25 = 82,208.25 : x
2. Step 2: Convert to fraction form
   37,102.50/82,208.25 = 82,208.25/x
3. Step 3: Cross multiply
   37,102.50x = 82,208.25 × 82,208.25
4. Step 4: Simplify right side
   37,102.50x = 6,758,196,368.06
5. Step 5: Solve for x
   x = 6,758,196,368.06/37,102.50
6. Step 6: Final answer
   x = 182,149.35