Finding the Third Proportional to 37,685.25 and 78,471

Step by Step Solution

1. Step 1: Write the proportion equation
   37,685.25 : 78,471 = 78,471 : x
2. Step 2: Convert to fraction form
   37,685.25/78,471 = 78,471/x
3. Step 3: Cross multiply
   37,685.25x = 78,471 × 78,471
4. Step 4: Simplify right side
   37,685.25x = 6,157,697,841
5. Step 5: Solve for x
   x = 6,157,697,841/37,685.25
6. Step 6: Final answer
   x = 163,398.09