Finding the Third Proportional to 37,352 and 78,164

Step by Step Solution

1. Step 1: Write the proportion equation
   37,352 : 78,164 = 78,164 : x
2. Step 2: Convert to fraction form
   37,352/78,164 = 78,164/x
3. Step 3: Cross multiply
   37,352x = 78,164 × 78,164
4. Step 4: Simplify right side
   37,352x = 6,109,610,896
5. Step 5: Solve for x
   x = 6,109,610,896/37,352
6. Step 6: Final answer
   x = 163,568.51