Finding the Third Proportional to 35,091 and 75,793.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,091 : 75,793.50 = 75,793.50 : x
2. Step 2: Convert to fraction form
   35,091/75,793.50 = 75,793.50/x
3. Step 3: Cross multiply
   35,091x = 75,793.50 × 75,793.50
4. Step 4: Simplify right side
   35,091x = 5,744,654,642.25
5. Step 5: Solve for x
   x = 5,744,654,642.25/35,091
6. Step 6: Final answer
   x = 163,707.35