Finding the Third Proportional to 34,978.50 and 75,485.25

Step by Step Solution

1. Step 1: Write the proportion equation
   34,978.50 : 75,485.25 = 75,485.25 : x
2. Step 2: Convert to fraction form
   34,978.50/75,485.25 = 75,485.25/x
3. Step 3: Cross multiply
   34,978.50x = 75,485.25 × 75,485.25
4. Step 4: Simplify right side
   34,978.50x = 5,698,022,967.56
5. Step 5: Solve for x
   x = 5,698,022,967.56/34,978.50
6. Step 6: Final answer
   x = 162,900.72