Finding the Third Proportional to 37,442 and 81,443.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,442 : 81,443.50 = 81,443.50 : x
2. Step 2: Convert to fraction form
   37,442/81,443.50 = 81,443.50/x
3. Step 3: Cross multiply
   37,442x = 81,443.50 × 81,443.50
4. Step 4: Simplify right side
   37,442x = 6,633,043,692.25
5. Step 5: Solve for x
   x = 6,633,043,692.25/37,442
6. Step 6: Final answer
   x = 177,155.17