Finding the Third Proportional to 33,414 and 72,051.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,414 : 72,051.50 = 72,051.50 : x
2. Step 2: Convert to fraction form
   33,414/72,051.50 = 72,051.50/x
3. Step 3: Cross multiply
   33,414x = 72,051.50 × 72,051.50
4. Step 4: Simplify right side
   33,414x = 5,191,418,652.25
5. Step 5: Solve for x
   x = 5,191,418,652.25/33,414
6. Step 6: Final answer
   x = 155,366.57