Finding the Third Proportional to 29,853 and 64,975.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,853 : 64,975.50 = 64,975.50 : x
2. Step 2: Convert to fraction form
   29,853/64,975.50 = 64,975.50/x
3. Step 3: Cross multiply
   29,853x = 64,975.50 × 64,975.50
4. Step 4: Simplify right side
   29,853x = 4,221,815,600.25
5. Step 5: Solve for x
   x = 4,221,815,600.25/29,853
6. Step 6: Final answer
   x = 141,420.15