Finding the Third Proportional to 16,209 and 34,663.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,209 : 34,663.50 = 34,663.50 : x
2. Step 2: Convert to fraction form
   16,209/34,663.50 = 34,663.50/x
3. Step 3: Cross multiply
   16,209x = 34,663.50 × 34,663.50
4. Step 4: Simplify right side
   16,209x = 1,201,558,232.25
5. Step 5: Solve for x
   x = 1,201,558,232.25/16,209
6. Step 6: Final answer
   x = 74,129.08