Finding the Third Proportional to 52,875 and 81,832.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,875 : 81,832.50 = 81,832.50 : x
2. Step 2: Convert to fraction form
   52,875/81,832.50 = 81,832.50/x
3. Step 3: Cross multiply
   52,875x = 81,832.50 × 81,832.50
4. Step 4: Simplify right side
   52,875x = 6,696,558,056.25
5. Step 5: Solve for x
   x = 6,696,558,056.25/52,875
6. Step 6: Final answer
   x = 126,648.85