Finding the Third Proportional to 64,542 and 94,696.50

Step by Step Solution

1. Step 1: Write the proportion equation
   64,542 : 94,696.50 = 94,696.50 : x
2. Step 2: Convert to fraction form
   64,542/94,696.50 = 94,696.50/x
3. Step 3: Cross multiply
   64,542x = 94,696.50 × 94,696.50
4. Step 4: Simplify right side
   64,542x = 8,967,427,112.25
5. Step 5: Solve for x
   x = 8,967,427,112.25/64,542
6. Step 6: Final answer
   x = 138,939.41