Finding the Third Proportional to 37,707.50 and 74,462.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,707.50 : 74,462.50 = 74,462.50 : x
2. Step 2: Convert to fraction form
   37,707.50/74,462.50 = 74,462.50/x
3. Step 3: Cross multiply
   37,707.50x = 74,462.50 × 74,462.50
4. Step 4: Simplify right side
   37,707.50x = 5,544,663,906.25
5. Step 5: Solve for x
   x = 5,544,663,906.25/37,707.50
6. Step 6: Final answer
   x = 147,044.06