Finding the Third Proportional to 37,110.38 and 77,866.31

Step by Step Solution

1. Step 1: Write the proportion equation
   37,110.38 : 77,866.31 = 77,866.31 : x
2. Step 2: Convert to fraction form
   37,110.38/77,866.31 = 77,866.31/x
3. Step 3: Cross multiply
   37,110.38x = 77,866.31 × 77,866.31
4. Step 4: Simplify right side
   37,110.38x = 6,063,162,622.35
5. Step 5: Solve for x
   x = 6,063,162,622.35/37,110.38
6. Step 6: Final answer
   x = 163,381.87