Finding the Third Proportional to 37,288.50 and 72,687

Step by Step Solution

1. Step 1: Write the proportion equation
   37,288.50 : 72,687 = 72,687 : x
2. Step 2: Convert to fraction form
   37,288.50/72,687 = 72,687/x
3. Step 3: Cross multiply
   37,288.50x = 72,687 × 72,687
4. Step 4: Simplify right side
   37,288.50x = 5,283,399,969
5. Step 5: Solve for x
   x = 5,283,399,969/37,288.50
6. Step 6: Final answer
   x = 141,689.80