Finding the Third Proportional to 37,407 and 57,493.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,407 : 57,493.50 = 57,493.50 : x
2. Step 2: Convert to fraction form
   37,407/57,493.50 = 57,493.50/x
3. Step 3: Cross multiply
   37,407x = 57,493.50 × 57,493.50
4. Step 4: Simplify right side
   37,407x = 3,305,502,542.25
5. Step 5: Solve for x
   x = 3,305,502,542.25/37,407
6. Step 6: Final answer
   x = 88,365.88