Finding the Third Proportional to 37,887 and 79,768.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,887 : 79,768.50 = 79,768.50 : x
2. Step 2: Convert to fraction form
   37,887/79,768.50 = 79,768.50/x
3. Step 3: Cross multiply
   37,887x = 79,768.50 × 79,768.50
4. Step 4: Simplify right side
   37,887x = 6,363,013,592.25
5. Step 5: Solve for x
   x = 6,363,013,592.25/37,887
6. Step 6: Final answer
   x = 167,947.15