Finding the Third Proportional to 37,740 and 77,118.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,740 : 77,118.50 = 77,118.50 : x
2. Step 2: Convert to fraction form
   37,740/77,118.50 = 77,118.50/x
3. Step 3: Cross multiply
   37,740x = 77,118.50 × 77,118.50
4. Step 4: Simplify right side
   37,740x = 5,947,263,042.25
5. Step 5: Solve for x
   x = 5,947,263,042.25/37,740
6. Step 6: Final answer
   x = 157,585.14