Finding the Third Proportional to 34,875 and 53,356.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,875 : 53,356.50 = 53,356.50 : x
2. Step 2: Convert to fraction form
   34,875/53,356.50 = 53,356.50/x
3. Step 3: Cross multiply
   34,875x = 53,356.50 × 53,356.50
4. Step 4: Simplify right side
   34,875x = 2,846,916,092.25
5. Step 5: Solve for x
   x = 2,846,916,092.25/34,875
6. Step 6: Final answer
   x = 81,632.00