Finding the Third Proportional to 37,056 and 82,402.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,056 : 82,402.50 = 82,402.50 : x
2. Step 2: Convert to fraction form
   37,056/82,402.50 = 82,402.50/x
3. Step 3: Cross multiply
   37,056x = 82,402.50 × 82,402.50
4. Step 4: Simplify right side
   37,056x = 6,790,172,006.25
5. Step 5: Solve for x
   x = 6,790,172,006.25/37,056
6. Step 6: Final answer
   x = 183,240.82