Finding the Third Proportional to 37,806 and 56,341

Step by Step Solution

1. Step 1: Write the proportion equation
   37,806 : 56,341 = 56,341 : x
2. Step 2: Convert to fraction form
   37,806/56,341 = 56,341/x
3. Step 3: Cross multiply
   37,806x = 56,341 × 56,341
4. Step 4: Simplify right side
   37,806x = 3,174,308,281
5. Step 5: Solve for x
   x = 3,174,308,281/37,806
6. Step 6: Final answer
   x = 83,963.08