Finding the Third Proportional to 37,493 and 81,212.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,493 : 81,212.50 = 81,212.50 : x
2. Step 2: Convert to fraction form
   37,493/81,212.50 = 81,212.50/x
3. Step 3: Cross multiply
   37,493x = 81,212.50 × 81,212.50
4. Step 4: Simplify right side
   37,493x = 6,595,470,156.25
5. Step 5: Solve for x
   x = 6,595,470,156.25/37,493
6. Step 6: Final answer
   x = 175,912.04