Finding the Third Proportional to 34,985 and 75,495.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,985 : 75,495.50 = 75,495.50 : x
2. Step 2: Convert to fraction form
   34,985/75,495.50 = 75,495.50/x
3. Step 3: Cross multiply
   34,985x = 75,495.50 × 75,495.50
4. Step 4: Simplify right side
   34,985x = 5,699,570,520.25
5. Step 5: Solve for x
   x = 5,699,570,520.25/34,985
6. Step 6: Final answer
   x = 162,914.69