Finding the Third Proportional to 38,460.38 and 83,071.69

Step by Step Solution

1. Step 1: Write the proportion equation
   38,460.38 : 83,071.69 = 83,071.69 : x
2. Step 2: Convert to fraction form
   38,460.38/83,071.69 = 83,071.69/x
3. Step 3: Cross multiply
   38,460.38x = 83,071.69 × 83,071.69
4. Step 4: Simplify right side
   38,460.38x = 6,900,905,264.10
5. Step 5: Solve for x
   x = 6,900,905,264.10/38,460.38
6. Step 6: Final answer
   x = 179,428.96