Finding the Third Proportional to 37,467.47 and 78,398.81

Step by Step Solution

1. Step 1: Write the proportion equation
   37,467.47 : 78,398.81 = 78,398.81 : x
2. Step 2: Convert to fraction form
   37,467.47/78,398.81 = 78,398.81/x
3. Step 3: Cross multiply
   37,467.47x = 78,398.81 × 78,398.81
4. Step 4: Simplify right side
   37,467.47x = 6,146,373,801.41
5. Step 5: Solve for x
   x = 6,146,373,801.41/37,467.47
6. Step 6: Final answer
   x = 164,045.61