Finding the Third Proportional to 37,245 and 81,184.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,245 : 81,184.50 = 81,184.50 : x
2. Step 2: Convert to fraction form
   37,245/81,184.50 = 81,184.50/x
3. Step 3: Cross multiply
   37,245x = 81,184.50 × 81,184.50
4. Step 4: Simplify right side
   37,245x = 6,590,923,040.25
5. Step 5: Solve for x
   x = 6,590,923,040.25/37,245
6. Step 6: Final answer
   x = 176,961.28