Finding the Third Proportional to 15,480 and 31,784

Step by Step Solution

1. Step 1: Write the proportion equation
   15,480 : 31,784 = 31,784 : x
2. Step 2: Convert to fraction form
   15,480/31,784 = 31,784/x
3. Step 3: Cross multiply
   15,480x = 31,784 × 31,784
4. Step 4: Simplify right side
   15,480x = 1,010,222,656
5. Step 5: Solve for x
   x = 1,010,222,656/15,480
6. Step 6: Final answer
   x = 65,259.86