Finding the Third Proportional to 29,346 and 35,269.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,346 : 35,269.50 = 35,269.50 : x
2. Step 2: Convert to fraction form
   29,346/35,269.50 = 35,269.50/x
3. Step 3: Cross multiply
   29,346x = 35,269.50 × 35,269.50
4. Step 4: Simplify right side
   29,346x = 1,243,937,630.25
5. Step 5: Solve for x
   x = 1,243,937,630.25/29,346
6. Step 6: Final answer
   x = 42,388.66