Finding the Third Proportional to 35,580.38 and 77,004.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,580.38 : 77,004.75 = 77,004.75 : x
2. Step 2: Convert to fraction form
   35,580.38/77,004.75 = 77,004.75/x
3. Step 3: Cross multiply
   35,580.38x = 77,004.75 × 77,004.75
4. Step 4: Simplify right side
   35,580.38x = 5,929,731,522.56
5. Step 5: Solve for x
   x = 5,929,731,522.56/35,580.38
6. Step 6: Final answer
   x = 166,657.36