Finding the Third Proportional to 15,509 and 32,938

Step by Step Solution

1. Step 1: Write the proportion equation
   15,509 : 32,938 = 32,938 : x
2. Step 2: Convert to fraction form
   15,509/32,938 = 32,938/x
3. Step 3: Cross multiply
   15,509x = 32,938 × 32,938
4. Step 4: Simplify right side
   15,509x = 1,084,911,844
5. Step 5: Solve for x
   x = 1,084,911,844/15,509
6. Step 6: Final answer
   x = 69,953.69