Finding the Third Proportional to 35,462.81 and 77,122.13

Step by Step Solution

1. Step 1: Write the proportion equation
   35,462.81 : 77,122.13 = 77,122.13 : x
2. Step 2: Convert to fraction form
   35,462.81/77,122.13 = 77,122.13/x
3. Step 3: Cross multiply
   35,462.81x = 77,122.13 × 77,122.13
4. Step 4: Simplify right side
   35,462.81x = 5,947,822,164.52
5. Step 5: Solve for x
   x = 5,947,822,164.52/35,462.81
6. Step 6: Final answer
   x = 167,719.98