Finding the Third Proportional to 33,964 and 73,762.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,964 : 73,762.50 = 73,762.50 : x
2. Step 2: Convert to fraction form
   33,964/73,762.50 = 73,762.50/x
3. Step 3: Cross multiply
   33,964x = 73,762.50 × 73,762.50
4. Step 4: Simplify right side
   33,964x = 5,440,906,406.25
5. Step 5: Solve for x
   x = 5,440,906,406.25/33,964
6. Step 6: Final answer
   x = 160,196.28