Finding the Third Proportional to 35,535 and 77,335.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,535 : 77,335.50 = 77,335.50 : x
2. Step 2: Convert to fraction form
   35,535/77,335.50 = 77,335.50/x
3. Step 3: Cross multiply
   35,535x = 77,335.50 × 77,335.50
4. Step 4: Simplify right side
   35,535x = 5,980,779,560.25
5. Step 5: Solve for x
   x = 5,980,779,560.25/35,535
6. Step 6: Final answer
   x = 168,306.73