Finding the Third Proportional to 34,776 and 76,054.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,776 : 76,054.50 = 76,054.50 : x
2. Step 2: Convert to fraction form
   34,776/76,054.50 = 76,054.50/x
3. Step 3: Cross multiply
   34,776x = 76,054.50 × 76,054.50
4. Step 4: Simplify right side
   34,776x = 5,784,286,970.25
5. Step 5: Solve for x
   x = 5,784,286,970.25/34,776
6. Step 6: Final answer
   x = 166,329.85