Finding the Third Proportional to 35,800.50 and 77,134.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,800.50 : 77,134.50 = 77,134.50 : x
2. Step 2: Convert to fraction form
   35,800.50/77,134.50 = 77,134.50/x
3. Step 3: Cross multiply
   35,800.50x = 77,134.50 × 77,134.50
4. Step 4: Simplify right side
   35,800.50x = 5,949,731,090.25
5. Step 5: Solve for x
   x = 5,949,731,090.25/35,800.50
6. Step 6: Final answer
   x = 166,191.28