Finding the Third Proportional to 35,127 and 76,828.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,127 : 76,828.50 = 76,828.50 : x
2. Step 2: Convert to fraction form
   35,127/76,828.50 = 76,828.50/x
3. Step 3: Cross multiply
   35,127x = 76,828.50 × 76,828.50
4. Step 4: Simplify right side
   35,127x = 5,902,618,412.25
5. Step 5: Solve for x
   x = 5,902,618,412.25/35,127
6. Step 6: Final answer
   x = 168,036.51