Finding the Third Proportional to 34,314 and 48,973.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,314 : 48,973.50 = 48,973.50 : x
2. Step 2: Convert to fraction form
   34,314/48,973.50 = 48,973.50/x
3. Step 3: Cross multiply
   34,314x = 48,973.50 × 48,973.50
4. Step 4: Simplify right side
   34,314x = 2,398,403,702.25
5. Step 5: Solve for x
   x = 2,398,403,702.25/34,314
6. Step 6: Final answer
   x = 69,895.78