Finding the Third Proportional to 37,840 and 78,784

Step by Step Solution

1. Step 1: Write the proportion equation
   37,840 : 78,784 = 78,784 : x
2. Step 2: Convert to fraction form
   37,840/78,784 = 78,784/x
3. Step 3: Cross multiply
   37,840x = 78,784 × 78,784
4. Step 4: Simplify right side
   37,840x = 6,206,918,656
5. Step 5: Solve for x
   x = 6,206,918,656/37,840
6. Step 6: Final answer
   x = 164,030.62