Finding the Third Proportional to 34,113 and 52,627.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,113 : 52,627.50 = 52,627.50 : x
2. Step 2: Convert to fraction form
   34,113/52,627.50 = 52,627.50/x
3. Step 3: Cross multiply
   34,113x = 52,627.50 × 52,627.50
4. Step 4: Simplify right side
   34,113x = 2,769,653,756.25
5. Step 5: Solve for x
   x = 2,769,653,756.25/34,113
6. Step 6: Final answer
   x = 81,190.57