Finding the Third Proportional to 37,338 and 57,819.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,338 : 57,819.50 = 57,819.50 : x
2. Step 2: Convert to fraction form
   37,338/57,819.50 = 57,819.50/x
3. Step 3: Cross multiply
   37,338x = 57,819.50 × 57,819.50
4. Step 4: Simplify right side
   37,338x = 3,343,094,580.25
5. Step 5: Solve for x
   x = 3,343,094,580.25/37,338
6. Step 6: Final answer
   x = 89,535.98