Finding the Third Proportional to 29,205 and 42,769.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,205 : 42,769.50 = 42,769.50 : x
2. Step 2: Convert to fraction form
   29,205/42,769.50 = 42,769.50/x
3. Step 3: Cross multiply
   29,205x = 42,769.50 × 42,769.50
4. Step 4: Simplify right side
   29,205x = 1,829,230,130.25
5. Step 5: Solve for x
   x = 1,829,230,130.25/29,205
6. Step 6: Final answer
   x = 62,634.14