Finding the Third Proportional to 37,582 and 56,523

Step by Step Solution

1. Step 1: Write the proportion equation
   37,582 : 56,523 = 56,523 : x
2. Step 2: Convert to fraction form
   37,582/56,523 = 56,523/x
3. Step 3: Cross multiply
   37,582x = 56,523 × 56,523
4. Step 4: Simplify right side
   37,582x = 3,194,849,529
5. Step 5: Solve for x
   x = 3,194,849,529/37,582
6. Step 6: Final answer
   x = 85,010.10