Finding the Third Proportional to 37,807 and 56,343

Step by Step Solution

1. Step 1: Write the proportion equation
   37,807 : 56,343 = 56,343 : x
2. Step 2: Convert to fraction form
   37,807/56,343 = 56,343/x
3. Step 3: Cross multiply
   37,807x = 56,343 × 56,343
4. Step 4: Simplify right side
   37,807x = 3,174,533,649
5. Step 5: Solve for x
   x = 3,174,533,649/37,807
6. Step 6: Final answer
   x = 83,966.82