Finding the Third Proportional to 35,601.50 and 77,853

Step by Step Solution

1. Step 1: Write the proportion equation
   35,601.50 : 77,853 = 77,853 : x
2. Step 2: Convert to fraction form
   35,601.50/77,853 = 77,853/x
3. Step 3: Cross multiply
   35,601.50x = 77,853 × 77,853
4. Step 4: Simplify right side
   35,601.50x = 6,061,089,609
5. Step 5: Solve for x
   x = 6,061,089,609/35,601.50
6. Step 6: Final answer
   x = 170,248.15