Finding the Third Proportional to 34,644 and 74,692.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,644 : 74,692.50 = 74,692.50 : x
2. Step 2: Convert to fraction form
   34,644/74,692.50 = 74,692.50/x
3. Step 3: Cross multiply
   34,644x = 74,692.50 × 74,692.50
4. Step 4: Simplify right side
   34,644x = 5,578,969,556.25
5. Step 5: Solve for x
   x = 5,578,969,556.25/34,644
6. Step 6: Final answer
   x = 161,037.11