Finding the Third Proportional to 19,680 and 42,513

Step by Step Solution

1. Step 1: Write the proportion equation
   19,680 : 42,513 = 42,513 : x
2. Step 2: Convert to fraction form
   19,680/42,513 = 42,513/x
3. Step 3: Cross multiply
   19,680x = 42,513 × 42,513
4. Step 4: Simplify right side
   19,680x = 1,807,355,169
5. Step 5: Solve for x
   x = 1,807,355,169/19,680
6. Step 6: Final answer
   x = 91,837.15