Finding the Third Proportional to 37,659 and 81,154.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,659 : 81,154.50 = 81,154.50 : x
2. Step 2: Convert to fraction form
   37,659/81,154.50 = 81,154.50/x
3. Step 3: Cross multiply
   37,659x = 81,154.50 × 81,154.50
4. Step 4: Simplify right side
   37,659x = 6,586,052,870.25
5. Step 5: Solve for x
   x = 6,586,052,870.25/37,659
6. Step 6: Final answer
   x = 174,886.56