Finding the Third Proportional to 37,802 and 78,714

Step by Step Solution

1. Step 1: Write the proportion equation
   37,802 : 78,714 = 78,714 : x
2. Step 2: Convert to fraction form
   37,802/78,714 = 78,714/x
3. Step 3: Cross multiply
   37,802x = 78,714 × 78,714
4. Step 4: Simplify right side
   37,802x = 6,195,893,796
5. Step 5: Solve for x
   x = 6,195,893,796/37,802
6. Step 6: Final answer
   x = 163,903.86