Finding the Third Proportional to 52,123.50 and 83,926.13

Step by Step Solution

1. Step 1: Write the proportion equation
   52,123.50 : 83,926.13 = 83,926.13 : x
2. Step 2: Convert to fraction form
   52,123.50/83,926.13 = 83,926.13/x
3. Step 3: Cross multiply
   52,123.50x = 83,926.13 × 83,926.13
4. Step 4: Simplify right side
   52,123.50x = 7,043,594,457.52
5. Step 5: Solve for x
   x = 7,043,594,457.52/52,123.50
6. Step 6: Final answer
   x = 135,132.80