Finding the Third Proportional to 35,392.50 and 77,348.25

Step by Step Solution

1. Step 1: Write the proportion equation
   35,392.50 : 77,348.25 = 77,348.25 : x
2. Step 2: Convert to fraction form
   35,392.50/77,348.25 = 77,348.25/x
3. Step 3: Cross multiply
   35,392.50x = 77,348.25 × 77,348.25
4. Step 4: Simplify right side
   35,392.50x = 5,982,751,778.06
5. Step 5: Solve for x
   x = 5,982,751,778.06/35,392.50
6. Step 6: Final answer
   x = 169,040.10