Finding the Third Proportional to 37,251 and 81,052.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,251 : 81,052.50 = 81,052.50 : x
2. Step 2: Convert to fraction form
   37,251/81,052.50 = 81,052.50/x
3. Step 3: Cross multiply
   37,251x = 81,052.50 × 81,052.50
4. Step 4: Simplify right side
   37,251x = 6,569,507,756.25
5. Step 5: Solve for x
   x = 6,569,507,756.25/37,251
6. Step 6: Final answer
   x = 176,357.89