Finding the Third Proportional to 41,076 and 58,696.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,076 : 58,696.50 = 58,696.50 : x
2. Step 2: Convert to fraction form
   41,076/58,696.50 = 58,696.50/x
3. Step 3: Cross multiply
   41,076x = 58,696.50 × 58,696.50
4. Step 4: Simplify right side
   41,076x = 3,445,279,112.25
5. Step 5: Solve for x
   x = 3,445,279,112.25/41,076
6. Step 6: Final answer
   x = 83,875.72