Finding the Third Proportional to 37,205.50 and 53,182.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,205.50 : 53,182.75 = 53,182.75 : x
2. Step 2: Convert to fraction form
   37,205.50/53,182.75 = 53,182.75/x
3. Step 3: Cross multiply
   37,205.50x = 53,182.75 × 53,182.75
4. Step 4: Simplify right side
   37,205.50x = 2,828,404,897.56
5. Step 5: Solve for x
   x = 2,828,404,897.56/37,205.50
6. Step 6: Final answer
   x = 76,021.15