Finding the Third Proportional to 35,551.50 and 77,783.25

Step by Step Solution

1. Step 1: Write the proportion equation
   35,551.50 : 77,783.25 = 77,783.25 : x
2. Step 2: Convert to fraction form
   35,551.50/77,783.25 = 77,783.25/x
3. Step 3: Cross multiply
   35,551.50x = 77,783.25 × 77,783.25
4. Step 4: Simplify right side
   35,551.50x = 6,050,233,980.56
5. Step 5: Solve for x
   x = 6,050,233,980.56/35,551.50
6. Step 6: Final answer
   x = 170,182.24