Finding the Third Proportional to 35,214 and 77,101.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,214 : 77,101.50 = 77,101.50 : x
2. Step 2: Convert to fraction form
   35,214/77,101.50 = 77,101.50/x
3. Step 3: Cross multiply
   35,214x = 77,101.50 × 77,101.50
4. Step 4: Simplify right side
   35,214x = 5,944,641,302.25
5. Step 5: Solve for x
   x = 5,944,641,302.25/35,214
6. Step 6: Final answer
   x = 168,814.71