Finding the Third Proportional to 34,140 and 52,746

Step by Step Solution

1. Step 1: Write the proportion equation
   34,140 : 52,746 = 52,746 : x
2. Step 2: Convert to fraction form
   34,140/52,746 = 52,746/x
3. Step 3: Cross multiply
   34,140x = 52,746 × 52,746
4. Step 4: Simplify right side
   34,140x = 2,782,140,516
5. Step 5: Solve for x
   x = 2,782,140,516/34,140
6. Step 6: Final answer
   x = 81,492.11