Finding the Third Proportional to 35,730 and 77,109.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,730 : 77,109.75 = 77,109.75 : x
2. Step 2: Convert to fraction form
   35,730/77,109.75 = 77,109.75/x
3. Step 3: Cross multiply
   35,730x = 77,109.75 × 77,109.75
4. Step 4: Simplify right side
   35,730x = 5,945,913,545.06
5. Step 5: Solve for x
   x = 5,945,913,545.06/35,730
6. Step 6: Final answer
   x = 166,412.36