Finding the Third Proportional to 33,591 and 45,463.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,591 : 45,463.50 = 45,463.50 : x
2. Step 2: Convert to fraction form
   33,591/45,463.50 = 45,463.50/x
3. Step 3: Cross multiply
   33,591x = 45,463.50 × 45,463.50
4. Step 4: Simplify right side
   33,591x = 2,066,929,832.25
5. Step 5: Solve for x
   x = 2,066,929,832.25/33,591
6. Step 6: Final answer
   x = 61,532.25