Finding the Third Proportional to 37,398 and 81,835.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,398 : 81,835.50 = 81,835.50 : x
2. Step 2: Convert to fraction form
   37,398/81,835.50 = 81,835.50/x
3. Step 3: Cross multiply
   37,398x = 81,835.50 × 81,835.50
4. Step 4: Simplify right side
   37,398x = 6,697,049,060.25
5. Step 5: Solve for x
   x = 6,697,049,060.25/37,398
6. Step 6: Final answer
   x = 179,075.06