Finding the Third Proportional to 37,468.31 and 81,800.63

Step by Step Solution

1. Step 1: Write the proportion equation
   37,468.31 : 81,800.63 = 81,800.63 : x
2. Step 2: Convert to fraction form
   37,468.31/81,800.63 = 81,800.63/x
3. Step 3: Cross multiply
   37,468.31x = 81,800.63 × 81,800.63
4. Step 4: Simplify right side
   37,468.31x = 6,691,342,250.39
5. Step 5: Solve for x
   x = 6,691,342,250.39/37,468.31
6. Step 6: Final answer
   x = 178,586.70