Finding the Third Proportional to 37,289.25 and 78,897.38

Step by Step Solution

1. Step 1: Write the proportion equation
   37,289.25 : 78,897.38 = 78,897.38 : x
2. Step 2: Convert to fraction form
   37,289.25/78,897.38 = 78,897.38/x
3. Step 3: Cross multiply
   37,289.25x = 78,897.38 × 78,897.38
4. Step 4: Simplify right side
   37,289.25x = 6,224,795,781.89
5. Step 5: Solve for x
   x = 6,224,795,781.89/37,289.25
6. Step 6: Final answer
   x = 166,932.72