Finding the Third Proportional to 42,072 and 70,117.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,072 : 70,117.50 = 70,117.50 : x
2. Step 2: Convert to fraction form
   42,072/70,117.50 = 70,117.50/x
3. Step 3: Cross multiply
   42,072x = 70,117.50 × 70,117.50
4. Step 4: Simplify right side
   42,072x = 4,916,463,806.25
5. Step 5: Solve for x
   x = 4,916,463,806.25/42,072
6. Step 6: Final answer
   x = 116,858.33