Finding the Third Proportional to 37,449 and 81,931.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,449 : 81,931.50 = 81,931.50 : x
2. Step 2: Convert to fraction form
   37,449/81,931.50 = 81,931.50/x
3. Step 3: Cross multiply
   37,449x = 81,931.50 × 81,931.50
4. Step 4: Simplify right side
   37,449x = 6,712,770,692.25
5. Step 5: Solve for x
   x = 6,712,770,692.25/37,449
6. Step 6: Final answer
   x = 179,251.00