Finding the Third Proportional to 37,116 and 77,874.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,116 : 77,874.75 = 77,874.75 : x
2. Step 2: Convert to fraction form
   37,116/77,874.75 = 77,874.75/x
3. Step 3: Cross multiply
   37,116x = 77,874.75 × 77,874.75
4. Step 4: Simplify right side
   37,116x = 6,064,476,687.56
5. Step 5: Solve for x
   x = 6,064,476,687.56/37,116
6. Step 6: Final answer
   x = 163,392.52