Finding the Third Proportional to 29,601 and 42,259.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,601 : 42,259.50 = 42,259.50 : x
2. Step 2: Convert to fraction form
   29,601/42,259.50 = 42,259.50/x
3. Step 3: Cross multiply
   29,601x = 42,259.50 × 42,259.50
4. Step 4: Simplify right side
   29,601x = 1,785,865,340.25
5. Step 5: Solve for x
   x = 1,785,865,340.25/29,601
6. Step 6: Final answer
   x = 60,331.25