Finding the Third Proportional to 38,892.38 and 83,696.63

Step by Step Solution

1. Step 1: Write the proportion equation
   38,892.38 : 83,696.63 = 83,696.63 : x
2. Step 2: Convert to fraction form
   38,892.38/83,696.63 = 83,696.63/x
3. Step 3: Cross multiply
   38,892.38x = 83,696.63 × 83,696.63
4. Step 4: Simplify right side
   38,892.38x = 7,005,125,036.39
5. Step 5: Solve for x
   x = 7,005,125,036.39/38,892.38
6. Step 6: Final answer
   x = 180,115.64