Finding the Third Proportional to 37,530.84 and 82,938.94

Step by Step Solution

1. Step 1: Write the proportion equation
   37,530.84 : 82,938.94 = 82,938.94 : x
2. Step 2: Convert to fraction form
   37,530.84/82,938.94 = 82,938.94/x
3. Step 3: Cross multiply
   37,530.84x = 82,938.94 × 82,938.94
4. Step 4: Simplify right side
   37,530.84x = 6,878,867,353.63
5. Step 5: Solve for x
   x = 6,878,867,353.63/37,530.84
6. Step 6: Final answer
   x = 183,285.71