Finding the Third Proportional to 37,593 and 88,906.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,593 : 88,906.50 = 88,906.50 : x
2. Step 2: Convert to fraction form
   37,593/88,906.50 = 88,906.50/x
3. Step 3: Cross multiply
   37,593x = 88,906.50 × 88,906.50
4. Step 4: Simplify right side
   37,593x = 7,904,365,742.25
5. Step 5: Solve for x
   x = 7,904,365,742.25/37,593
6. Step 6: Final answer
   x = 210,261.64