Finding the Third Proportional to 37,897.31 and 80,415.56

Step by Step Solution

1. Step 1: Write the proportion equation
   37,897.31 : 80,415.56 = 80,415.56 : x
2. Step 2: Convert to fraction form
   37,897.31/80,415.56 = 80,415.56/x
3. Step 3: Cross multiply
   37,897.31x = 80,415.56 × 80,415.56
4. Step 4: Simplify right side
   37,897.31x = 6,466,662,692.19
5. Step 5: Solve for x
   x = 6,466,662,692.19/37,897.31
6. Step 6: Final answer
   x = 170,636.45