Finding the Third Proportional to 37,142.44 and 78,384.94

Step by Step Solution

1. Step 1: Write the proportion equation
   37,142.44 : 78,384.94 = 78,384.94 : x
2. Step 2: Convert to fraction form
   37,142.44/78,384.94 = 78,384.94/x
3. Step 3: Cross multiply
   37,142.44x = 78,384.94 × 78,384.94
4. Step 4: Simplify right side
   37,142.44x = 6,144,198,426.88
5. Step 5: Solve for x
   x = 6,144,198,426.88/37,142.44
6. Step 6: Final answer
   x = 165,422.60