Finding the Third Proportional to 65,925 and 102,164

Step by Step Solution

1. Step 1: Write the proportion equation
   65,925 : 102,164 = 102,164 : x
2. Step 2: Convert to fraction form
   65,925/102,164 = 102,164/x
3. Step 3: Cross multiply
   65,925x = 102,164 × 102,164
4. Step 4: Simplify right side
   65,925x = 10,437,482,896
5. Step 5: Solve for x
   x = 10,437,482,896/65,925
6. Step 6: Final answer
   x = 158,323.59