Finding the Third Proportional to 34,677 and 81,832.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,677 : 81,832.50 = 81,832.50 : x
2. Step 2: Convert to fraction form
   34,677/81,832.50 = 81,832.50/x
3. Step 3: Cross multiply
   34,677x = 81,832.50 × 81,832.50
4. Step 4: Simplify right side
   34,677x = 6,696,558,056.25
5. Step 5: Solve for x
   x = 6,696,558,056.25/34,677
6. Step 6: Final answer
   x = 193,112.38