Finding the Third Proportional to 37,735.88 and 77,900.63

Step by Step Solution

1. Step 1: Write the proportion equation
   37,735.88 : 77,900.63 = 77,900.63 : x
2. Step 2: Convert to fraction form
   37,735.88/77,900.63 = 77,900.63/x
3. Step 3: Cross multiply
   37,735.88x = 77,900.63 × 77,900.63
4. Step 4: Simplify right side
   37,735.88x = 6,068,507,375.39
5. Step 5: Solve for x
   x = 6,068,507,375.39/37,735.88
6. Step 6: Final answer
   x = 160,815.33