Finding the Third Proportional to 34,740 and 74,884.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,740 : 74,884.50 = 74,884.50 : x
2. Step 2: Convert to fraction form
   34,740/74,884.50 = 74,884.50/x
3. Step 3: Cross multiply
   34,740x = 74,884.50 × 74,884.50
4. Step 4: Simplify right side
   34,740x = 5,607,688,340.25
5. Step 5: Solve for x
   x = 5,607,688,340.25/34,740
6. Step 6: Final answer
   x = 161,418.78