Finding the Third Proportional to 38,966.63 and 83,944.13

Step by Step Solution

1. Step 1: Write the proportion equation
   38,966.63 : 83,944.13 = 83,944.13 : x
2. Step 2: Convert to fraction form
   38,966.63/83,944.13 = 83,944.13/x
3. Step 3: Cross multiply
   38,966.63x = 83,944.13 × 83,944.13
4. Step 4: Simplify right side
   38,966.63x = 7,046,616,122.02
5. Step 5: Solve for x
   x = 7,046,616,122.02/38,966.63
6. Step 6: Final answer
   x = 180,837.22