Finding the Third Proportional to 35,788.50 and 76,200.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,788.50 : 76,200.75 = 76,200.75 : x
2. Step 2: Convert to fraction form
   35,788.50/76,200.75 = 76,200.75/x
3. Step 3: Cross multiply
   35,788.50x = 76,200.75 × 76,200.75
4. Step 4: Simplify right side
   35,788.50x = 5,806,554,300.56
5. Step 5: Solve for x
   x = 5,806,554,300.56/35,788.50
6. Step 6: Final answer
   x = 162,246.37