Finding the Third Proportional to 37,336 and 78,129

Step by Step Solution

1. Step 1: Write the proportion equation
   37,336 : 78,129 = 78,129 : x
2. Step 2: Convert to fraction form
   37,336/78,129 = 78,129/x
3. Step 3: Cross multiply
   37,336x = 78,129 × 78,129
4. Step 4: Simplify right side
   37,336x = 6,104,140,641
5. Step 5: Solve for x
   x = 6,104,140,641/37,336
6. Step 6: Final answer
   x = 163,492.09