Finding the Third Proportional to 29,601 and 69,835.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,601 : 69,835.50 = 69,835.50 : x
2. Step 2: Convert to fraction form
   29,601/69,835.50 = 69,835.50/x
3. Step 3: Cross multiply
   29,601x = 69,835.50 × 69,835.50
4. Step 4: Simplify right side
   29,601x = 4,876,997,060.25
5. Step 5: Solve for x
   x = 4,876,997,060.25/29,601
6. Step 6: Final answer
   x = 164,757.85