Finding the Third Proportional to 33,924 and 70,516.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,924 : 70,516.50 = 70,516.50 : x
2. Step 2: Convert to fraction form
   33,924/70,516.50 = 70,516.50/x
3. Step 3: Cross multiply
   33,924x = 70,516.50 × 70,516.50
4. Step 4: Simplify right side
   33,924x = 4,972,576,772.25
5. Step 5: Solve for x
   x = 4,972,576,772.25/33,924
6. Step 6: Final answer
   x = 146,579.91