Finding the Third Proportional to 37,128 and 82,537.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,128 : 82,537.50 = 82,537.50 : x
2. Step 2: Convert to fraction form
   37,128/82,537.50 = 82,537.50/x
3. Step 3: Cross multiply
   37,128x = 82,537.50 × 82,537.50
4. Step 4: Simplify right side
   37,128x = 6,812,438,906.25
5. Step 5: Solve for x
   x = 6,812,438,906.25/37,128
6. Step 6: Final answer
   x = 183,485.21