Finding the Third Proportional to 35,381 and 52,261.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,381 : 52,261.50 = 52,261.50 : x
2. Step 2: Convert to fraction form
   35,381/52,261.50 = 52,261.50/x
3. Step 3: Cross multiply
   35,381x = 52,261.50 × 52,261.50
4. Step 4: Simplify right side
   35,381x = 2,731,264,382.25
5. Step 5: Solve for x
   x = 2,731,264,382.25/35,381
6. Step 6: Final answer
   x = 77,195.79