Finding the Third Proportional to 33,811.50 and 72,146

Step by Step Solution

1. Step 1: Write the proportion equation
   33,811.50 : 72,146 = 72,146 : x
2. Step 2: Convert to fraction form
   33,811.50/72,146 = 72,146/x
3. Step 3: Cross multiply
   33,811.50x = 72,146 × 72,146
4. Step 4: Simplify right side
   33,811.50x = 5,205,045,316
5. Step 5: Solve for x
   x = 5,205,045,316/33,811.50
6. Step 6: Final answer
   x = 153,943.05