Finding the Third Proportional to 34,768 and 74,777.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,768 : 74,777.50 = 74,777.50 : x
2. Step 2: Convert to fraction form
   34,768/74,777.50 = 74,777.50/x
3. Step 3: Cross multiply
   34,768x = 74,777.50 × 74,777.50
4. Step 4: Simplify right side
   34,768x = 5,591,674,506.25
5. Step 5: Solve for x
   x = 5,591,674,506.25/34,768
6. Step 6: Final answer
   x = 160,828.19