Finding the Third Proportional to 29,829.94 and 64,985.63

Step by Step Solution

1. Step 1: Write the proportion equation
   29,829.94 : 64,985.63 = 64,985.63 : x
2. Step 2: Convert to fraction form
   29,829.94/64,985.63 = 64,985.63/x
3. Step 3: Cross multiply
   29,829.94x = 64,985.63 × 64,985.63
4. Step 4: Simplify right side
   29,829.94x = 4,223,131,456.64
5. Step 5: Solve for x
   x = 4,223,131,456.64/29,829.94
6. Step 6: Final answer
   x = 141,573.59