Finding the Third Proportional to 34,164 and 75,052.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,164 : 75,052.50 = 75,052.50 : x
2. Step 2: Convert to fraction form
   34,164/75,052.50 = 75,052.50/x
3. Step 3: Cross multiply
   34,164x = 75,052.50 × 75,052.50
4. Step 4: Simplify right side
   34,164x = 5,632,877,756.25
5. Step 5: Solve for x
   x = 5,632,877,756.25/34,164
6. Step 6: Final answer
   x = 164,877.58