Finding the Third Proportional to 37,659 and 78,437

Step by Step Solution

1. Step 1: Write the proportion equation
   37,659 : 78,437 = 78,437 : x
2. Step 2: Convert to fraction form
   37,659/78,437 = 78,437/x
3. Step 3: Cross multiply
   37,659x = 78,437 × 78,437
4. Step 4: Simplify right side
   37,659x = 6,152,362,969
5. Step 5: Solve for x
   x = 6,152,362,969/37,659
6. Step 6: Final answer
   x = 163,370.32